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Daha sonra oyunun pencere modunda açılması için kısayolda \"win\" yazılması, grafik seçeneklerinin döndürülmesi ve çözünürlük ayarlarının değiştirilmesi gibi teknik detayları uygulamalı olarak anlatmaktadır."]},"endTime":319,"title":"Generals Zero Horn DirectX Sorunu Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Generals Zero Horon DirectX Sorunu Çözümü","list":{"type":"unordered","items":["Video, Windows 10, Windows 8.1 veya Windows 8'de Generals Zero Horon oyununda DirectX sorunu çözümünü anlatıyor.","Sorunun çözümü doğru ve sıralı bir şekilde uygulandığında oyun sorunsuz açılacaktır."]},"beginTime":0,"endTime":31,"href":"/video/preview/8164944238214140184?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=0&ask_summarization=1"},{"index":1,"title":"Gerekli Dosyaların İndirilmesi ve Kurulumu","list":{"type":"unordered","items":["Verilen linkten \"options yapılandırma ayarı\" dosyası indirilip, Belgelerim klasöründeki Zero Horon data klasörüne yapıştırılmalıdır.","General'ın 1.4 page'i yüklenip cracklenmelidir.","Crack işlemi için EA Games klasöründen Zero Horon'a girip \"değiştir\" seçeneği kullanılmalıdır."]},"beginTime":31,"endTime":97,"href":"/video/preview/8164944238214140184?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=31&ask_summarization=1"},{"index":2,"title":"DirectX Sorununun Çözümü","list":{"type":"unordered","items":["Windows 10'da DirectX sürümü 12 olmasına rağmen 8.1 ve yukarısını yükleyin uyarısı geliyor.","Options yapılandırma ayarı dosyası yüklenmezse oyun hiç açılmıyor.","2003 yılında yapılmış olan bu strateji oyunu, gerçek zamanlı strateji oyunlarından biridir."]},"beginTime":97,"endTime":132,"href":"/video/preview/8164944238214140184?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=97&ask_summarization=1"},{"index":3,"title":"Pencere Modunda Oyun Başlatma","list":{"type":"unordered","items":["Generals Zero Horon üzerine sağ tıklayıp özellikler seçeneğine gidilmelidir.","Kısayollar bölümünde hedef kısmına çift tırnaktan sonra \"tire win\" yazılmalıdır.","Bu işlem oyunu pencere modunda başlatır ve DirectX sorundan kurtulmayı sağlar."]},"beginTime":132,"endTime":192,"href":"/video/preview/8164944238214140184?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=132&ask_summarization=1"},{"index":4,"title":"Çözünürlük Ayarları ve Sorun Çözümü","list":{"type":"unordered","items":["Oyuna ilk yüklendiğinde seçenekler aşağı doğru kaymış olabilir.","Grafik seçeneklerinden \"döndürme 90 derece döndür\" seçeneği ile alt taraftaki menü aktif hale getirilebilir.","Çözünürlük 800x600 olarak kalırsa pencere modundan kurtulunamaz, 1024x768 olarak ayarlanmalıdır."]},"beginTime":192,"endTime":275,"href":"/video/preview/8164944238214140184?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=192&ask_summarization=1"},{"index":5,"title":"Pencere Modundan Kurtulma","list":{"type":"unordered","items":["Çözünürlük ayarlandıktan sonra oyundan çıkılmalı ve hedefteki \"win\" uzantısı kaldırılmalıdır.","Bu işlemle pencere modundan kurtulup 1024 çözünürlüğündeki oyun açılabilir."]},"beginTime":275,"endTime":310,"href":"/video/preview/8164944238214140184?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=275&ask_summarization=1"}],"linkTemplate":"/video/preview/8164944238214140184?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"C&C generals zero hour directx 8.1 hatasi (error) windows 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Tamamen web sitesine özel, okul müfredatına göre düzenlenmiş ve güncel konu anlatımları içeren videolarımız Tonguç Akademi Sınıf Paketi'nde! Daha fazla bilgi için 👉...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2854331/473deb36b254fb98232cc437c001bc2a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/mNsxUAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=videoid:5908900722095448707","teaser":[{"list":{"type":"unordered","items":["Bu video, Tonguç Özal tarafından sunulan ve canlı yayın formatında gerçekleşen bir matematik eğitim içeriğidir. Videoda Tonguç Eren adında bir öğrenci ve Ömer Savaş, Bahar, Emre Baş gibi izleyiciler de yer almaktadır.","Video, kareköklü ifadeler konusunu kapsamlı bir şekilde ele almaktadır. İlk olarak tam kare sayılar ve karekökler tekrar edilmekte, ardından yaklaşık değer bulma, köklü ifadelerin dışarı çıkarılması, içeri sokulması, toplama, çıkarma, çarpma ve bölme işlemleri anlatılmaktadır. Ayrıca yeni nesil sorular çözülerek konu pekiştirilmektedir.","Videoda kareköklü ifadelerin doğal sayıya dönüştürülmesi, irrasyonel-gerçek sayılar arasındaki farklar ve günlük hayattan örneklerle \"elma-armut hesabı\" gibi kavramlar açıklanmaktadır. Öğretmen, öğrencilere sorular sorarak interaktif bir şekilde dersi ilerletmekte ve canlı yayın sırasında izleyicilerle etkileşim halindedir."]},"endTime":2932,"title":"Kareköklü İfadeler Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Kareköklü İfadeler Konusuna Giriş","list":{"type":"unordered","items":["Kareköklü ifadeler konusunda tam kare sayılar, karekök, yaklaşık değer bulma, a küp b'ye gösterme, çarpma, bölme, toplama, çıkarma, doğal sayıyı yapan çarpanlar ve ondalık ifadelerin karekökü konuları işlenecek.","Konu, ufak alıştırmalarla tekrar edilecek ve yeni nesil sorularla tamamlanacak.","Tam kare sayılar ve karekökleri konunun temelini oluşturuyor."]},"beginTime":0,"endTime":53,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=0&ask_summarization=1"},{"index":1,"title":"Tonguç Abonelik Paketi Tanıtımı","list":{"type":"unordered","items":["Tonguç 8. sınıf aboneliği alındığında üç dergi (Eylül, Ekim, Kasım) bedava olarak gönderiliyor.","Abonelik paketinde Türkçe, Matematik, Fen, İnkılap, Din ve İngilizce yazılı özetleri bulunuyor.","Tonguçödemi.com adresinden abonelik paketleri satın alınabilir ve her ay dergi bedava olarak gönderiliyor."]},"beginTime":53,"endTime":200,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=53&ask_summarization=1"},{"index":2,"title":"Tam Kare Sayılar","list":{"type":"unordered","items":["2'nin karesi 4, 3'ün karesi 9, 4'ün karesi 16, 9'un karesi 81, 10'un karesi 100, 11'in karesi 121 gibi ilk 20 tam kare sayının bilinmesi çok önemlidir.","Karekök 81 = 9, karekök 144 = 12, karekök 160 = 14, karekök 160 = 15, karekök 169 = 13, karekök 225 = 15, karekök 256 = 16, karekök 289 = 17, karekök 324 = 18, karekök 361 = 19, karekök 400 = 20 = 15 şeklinde hesaplanabilir.","Karekök 81 = 9, karekök 144 = 12, karekök 160 = 14, karekök 160 = 15, karekök 169 = 13, karekök 225 = 15, karekök 256 = 16, karekök 289 = 17, karekök 324 = 18, karekök 361 = 19, karekök 400 = 20 = 15 şeklinde hesaplanabilir."]},"beginTime":200,"endTime":261,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=200&ask_summarization=1"},{"index":3,"title":"Karekök Problemi Çözümü","list":{"type":"unordered","items":["Küp şeklinde kutulardan yapılmış A ve B kulelerinin yükseklikleri hesaplanıyor.","A kulesinin yüksekliği 8 + 13 + 12 = 33 santimetre olarak bulunuyor.","B kulesinin yüksekliği 4 + 17 + 16 = 37 santimetre olarak bulunuyor ve iki kulenin yüksekliği arasındaki fark 4 santimetre olarak hesaplanıyor."]},"beginTime":261,"endTime":364,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=261&ask_summarization=1"},{"index":4,"title":"Yaklaşık Değer Bulma","list":{"type":"unordered","items":["Yaklaşık değer bulma konusu, Milli Eğitim Bakanlığı'nın eski TEOG'larda ve şimdiki LGS'lerde zor sorularda sorduğu önemli bir konudur.","Karekök 5 sayısı 2 ile 3 arasında, 2 tam sayısına daha yakın bir değerdir.","Karekök 14 sayısı 3 ile 4 arasında, 4 tam sayısına daha yakın bir değerdir."]},"beginTime":364,"endTime":448,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=364&ask_summarization=1"},{"index":5,"title":"Karekök Hesaplama","list":{"type":"unordered","items":["Karekök hesaplamasında, a²b şeklindeki ifadelerde a dışarıya çıkar, b içeride kalır.","Karekök 18 hesaplanırken 18 = 9×2 şeklinde yazılır, 9 tam kare olduğu için 3 dışarı çıkar ve sonuç 3√2 olur.","Karekök 72 hesaplanırken 72 = 36×2 şeklinde yazılır, 36 kök 2 olarak dışarı çıkar."]},"beginTime":450,"endTime":502,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=450&ask_summarization=1"},{"index":6,"title":"Yeni Nesil Soru Çözümü","list":{"type":"unordered","items":["Yeni nesil soruları çözerken adım adım ilerlemek gerekir, atlamak riskli olabilir.","Her basamakta olabilecek işlemleri yapabilme yeteneği kazanmak önemlidir.","Karekök hesaplamalarını öğrenmek, daha karmaşık soruları çözmek için temel bir beceridir."]},"beginTime":502,"endTime":551,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=502&ask_summarization=1"},{"index":7,"title":"Karekök İçeri Sokma","list":{"type":"unordered","items":["Karekök içindeki ifadeleri içeri sokmak için, dışarı çıkarılan ifadenin karesi alınır.","Örneğin, 2√5 ifadesi içeri sokulduğunda 2²×5 = 4×5 = 20 olarak hesaplanır.","Bu yöntem, karekök içindeki ifadeleri karşılaştırmak için kullanılır."]},"beginTime":551,"endTime":684,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=551&ask_summarization=1"},{"index":8,"title":"Çekiliş Bilgileri","list":{"type":"unordered","items":["Tonguç kanalında toplam 8 tane iPhone hediye edilecek.","Çekilişe katılmak için sınıf kanalına ve Tonguç Akademi'ye abone olmak gerekiyor.","Yorum yaparken \"Tonguç\" etiketi kullanmak ve iki arkadaş daha abone etmek şart.","Çekiliş 16 Aralık'ta canlı yayında yapılacak."]},"beginTime":684,"endTime":769,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=684&ask_summarization=1"},{"index":9,"title":"Köklü Sayılarla İlgili Soru Çözümü","list":{"type":"unordered","items":["Soruda tabletin boyutu 2'den başlayıp 5,5'e kadar çıktığı için, tabletin uzunluğu 5,5 ile 2 arasındaki fark olan yaklaşık 3,5 civarında olmalıdır.","Cetvel üzerindeki alışlar arası mesafe eşit ve 4'er cm'dir, bu nedenle tabletin uzunluğu 4+4+4+2 cm'den 12-14 cm civarında olmalıdır.","Karekök 150 değeri 12 ile 14 arasında olduğu için, doğru cevap karekök 150'dir."]},"beginTime":771,"endTime":1073,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=771&ask_summarization=1"},{"index":10,"title":"Köklü Sayılarla İşlemler","list":{"type":"unordered","items":["Köklü sayılarla çarpma işlemi yapılırken, kök içindeki sayılar kendi aralarında çarpılır ve sonuç kök içinde yazılır.","Köklü sayılarla toplama ve çıkarma işlemi yapılırken, aynı köklü sayılar toplanabilir veya çıkarılabilir, farklı köklü sayılar toplanamaz veya çıkarılamaz.","Köklü sayılarla işlem yaparken, kök içindeki sayılar dışarı çıkarılabilir ve normal sayılarla işlem yapılabilir."]},"beginTime":1073,"endTime":1349,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1073&ask_summarization=1"},{"index":11,"title":"Karekök Problemi Çözümü","list":{"type":"unordered","items":["Kök 2a, kök 3b, kök 5c olduğuna göre kök 180 sayısının a, b, c türünden içtiğini bulma sorusu çözülüyor.","Karekök 180 sayısının çarpanlara ayrılması yapılıyor: 180 = 2² × 3² × 5.","Karekök 180 = karekök 2 × karekök 2 × karekök 3 × karekök 3 × karekök 5 = a² × b² × c şeklinde yazılabilir."]},"beginTime":1351,"endTime":1588,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1351&ask_summarization=1"},{"index":12,"title":"Kare Alanları ve Çevre Uzunluğu Problemi","list":{"type":"unordered","items":["ABC'nin karesinin içinde alanları 24 ve 150 olan iki kare oluşturulmuştur.","Karekök 150 = 5√6 ve karekök 24 = 2√6 olarak hesaplanır.","A ve B'nin çevre uzunlukları toplamı 4 × (5√6 + 2√6 = 28√6 cm) olarak bulunur."]},"beginTime":1588,"endTime":1752,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1588&ask_summarization=1"},{"index":13,"title":"Karekök İşlemleri","list":{"type":"unordered","items":["Karekök içindeki ifadeyi kökten çıkarmak için, karekök ile çarpılması gereken bir ifade bulunmalıdır.","Karekök 28 ifadesi 2 kök 7 şeklinde yazılabilir ve kök dışına çıkarılabilir.","Karekök 27 ile karekök 18 çarpımı 9 kök 6 şeklinde doğal sayı vermez."]},"beginTime":1758,"endTime":1926,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1758&ask_summarization=1"},{"index":14,"title":"Karekök Problemi Çözümü","list":{"type":"unordered","items":["Karekök 54 ile karekök 108 çarpımı birer doğal sayı olduğunda, a ve b'nin içinde kök 6 ve kök 3 olması gerekir.","a çarpı b işleminin sonucu kök 18 (3 kök 2) olabilir.","Karekök içindeki ifadelerin çarpımı, kök dışına çıkarılabilir."]},"beginTime":1926,"endTime":2165,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1926&ask_summarization=1"},{"index":15,"title":"Ondalık Sayılar ve Karekök","list":{"type":"unordered","items":["Ondalık sayılar karekök içinde yazılabilir, örneğin 104 = √1040 = 2√10.","Karekök içindeki ondalık sayılar, karekök dışına çıkarılabilir.","Karekök içindeki ondalık sayılar, karekök dışına çıkarılabilir."]},"beginTime":2165,"endTime":2281,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=2165&ask_summarization=1"},{"index":16,"title":"Rasyonel ve İrrasyonel Sayılar","list":{"type":"unordered","items":["Rasyonel sayılar Q harfi ile gösterilir ve 1/2, 1 3/4, 3 7/10 gibi sayılar rasyoneldir.","İrrasyonel sayılar π, kök 2, kök 5, kök 8 gibi kök dışına çıkmayan sayılardır.","Rasyonel ve irrasyonel sayılar birleştirildiğinde gerçek sayılar (R harfi ile gösterilir) elde edilir."]},"beginTime":2281,"endTime":2384,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=2281&ask_summarization=1"},{"index":17,"title":"Yeni Nesil Soru ve Cevap","list":{"type":"unordered","items":["Sunucu, yeni nesil bir soru sorarak ilk doğru cevabı veren öğrencinin ismini tarihe altın harflerle yazacağını belirtiyor.","Soru, 29 Ekim'den sonraki 30 Ekim'deki bayram sevincini ve Cumhuriyet'in 96. yılını kutlama konusunu içeriyor.","İlk doğru cevabı veren Burak Yıldırım'ın ismi tarihe altın harflerle yazılıyor."]},"beginTime":2387,"endTime":2460,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=2387&ask_summarization=1"},{"index":18,"title":"Basit Makineler Sorusu","list":{"type":"unordered","items":["Görseldeki makara ile tutturulmuş yükün yere uzaklığı 0,9 metre olarak veriliyor.","Makara ipini 1,21 metre çekip daha sonra makayı sabitliyor ve yükün yere uzaklığı makaranın orta noktasına uzaklığı kaç metre daha fazla olduğu soruluyor.","Doğru cevap 0,70 metre olarak bulunuyor."]},"beginTime":2460,"endTime":2600,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=2460&ask_summarization=1"},{"index":19,"title":"Ödev Veriliyor","list":{"type":"unordered","items":["Öğrencilere yeni nesil matematik taktik kitabından sayfa 54'ten başlayıp kareköklü ifadeler ve irrasyonel sayılar kısmına kadar yapmaları isteniyor.","Dinamo matematik soru bankasından sayfa 34'ten 49'a kadar yeni nesil soruları yapmaları gerekiyor.","Zorlananlar için sayfa 52'den 73'e kadar ve Tonguç Bey'dan 8'de sayısaldan sayfa 46'dan 63'e kadar yapmaları öneriliyor."]},"beginTime":2600,"endTime":2774,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=2600&ask_summarization=1"},{"index":20,"title":"Tomruk Üyelik Paketi","list":{"type":"unordered","items":["Tomruk üyelik paketinden matematik bölümüne giriş yapılarak konu testleri ve canlı testler erişilebiliyor.","Konu testlerinde yeni nesil kaliteli sorular bulunuyor.","Öğrenciler Tomruk'a üye olmak için ücretsiz üyelik paketlerinden 8. sınıf seçeneğini seçerek kareköklü ifadeler ve veri işleme konusuna ulaşabiliyorlar."]},"beginTime":2774,"endTime":2918,"href":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=2774&ask_summarization=1"}],"linkTemplate":"/video/preview/5908900722095448707?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"8. Sınıf Matematik | Kareköklü 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Sınavda karşına çıkacak olan soruları kaçırmamak için hemen Tonguçla, eğlenerek öğren! :)","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4534677/3bdadd0834433fdc1ffad626e160216c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/_mtFDAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=videoid:1367819255793636995","teaser":[{"list":{"type":"unordered","items":["Bu video, Mehmet adlı bir öğretmenin Tonguç adlı öğrencisiyle birlikte kareköklü sayılar konusunu anlattığı bir eğitim içeriğidir. Mehmet, sınav yaklaşırken öğrencilere kareköklü sayılar hakkında temel bilgiler vermektedir.","Video, kareköklü sayıların temel kavramlarını \"kaydırak\" metaforu üzerinden açıklamaktadır. Öncelikle tam kare sayıların kareköklerinin nasıl hesaplanacağı (5'in karesi 25, 2'nin karesi 4, 3'ün karesi 9 gibi) anlatılmakta, ardından tam kare olmayan sayıların kareköklerinin nasıl hesaplanacağı (12'nin karekökü 2√3 gibi) gösterilmektedir. Son olarak, kareköklerin hangi iki tam sayı arasında olduğunu belirleme konusu ele alınmaktadır. 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Kampı Ekim programına buradan ulaşabilirsin👉 https://bit.ly/2GfjkIC Yeni nesil Kareköklü İfadeler Soru Çözüm Taktikleri ile karşınızdayız! LGS sürecinde mutlaka bilmeniz gereken taktikler...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4321713/b5583e2160c0bb6d82571c08b3e0cb23/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7jBRTwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=videoid:11458306055450146844","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin LGS sınavına hazırlanan 8. sınıf öğrencilerine yönelik sunduğu eğitim dersidir. Öğretmen, Tom adlı bir öğrenciyle interaktif bir şekilde dersi ilerletmektedir.","Video, kareköklü ifadeler konusunu kapsamlı şekilde ele almaktadır. İlk olarak tam kare ifadeler ve kareköklü ifadelerin a kök b gösterimine dönüştürülmesi anlatılmakta, ardından karekök hesaplamaları, kareköklü sayıların çarpma ve bölme işlemleri detaylı şekilde açıklanmaktadır. Son bölümde ise dikdörtgen ve kare alanları ile ilgili sorular çözülmekte ve zorlu bir havuz problemi ele alınmaktadır.","Videoda LGS tarzı sorular üzerinden örnekler verilmekte, öğrencilerin cevapları değerlendirilmekte ve doğru cevap veren öğrenciler tebrik edilmektedir. Dersin sonunda öğretmen, öğrencilerin kareköklü ifadeler konusunda yapmaları gereken ödevleri açıklamaktadır."]},"endTime":2015,"title":"LGS Matematik: Kareköklü İfadeler Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Kareköklü İfadelerin Önemi","list":{"type":"unordered","items":["Kareköklü ifadeler, üslü ifadelerden daha önemli bir konu olup, sınavlarda en fazla soru kaynağıdır.","Bu konu, diğer matematik konularının temelini oluşturur ve özellikle 8. sınıf öğrencileri için en önemli konudur.","Bu canlı yayın sırasında kareköklü ifadeler tanıtılacak, a kök b gösterimi incelenecek ve kareköklü ifadelere çarpma-bölme işlemlerine geçilecektir."]},"beginTime":0,"endTime":105,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=0&ask_summarization=1"},{"index":1,"title":"Tam Kare Sayılar","list":{"type":"unordered","items":["Kareköklü ifadelerde tam kare sayıları ezberlemenin çok önemli olduğu vurgulanmaktadır.","Tam kare sayılar: 1²=1, 2²=4, 3²=9, 4²=16, 5²=25, 6²=36, 7²=49, 8²=64, 9²=81, 10²=100, 11²=121, 12²=144, 13²=169, 14²=196, 15²=225, 16²=256, 17²=289, 18²=324, 19²=361, 20²=400 gibi.","Tam kare sayıları bilmek, kareköklü ifadeleri çözmek için gereklidir."]},"beginTime":105,"endTime":196,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=105&ask_summarization=1"},{"index":2,"title":"Karekök Hesaplama Yöntemleri","list":{"type":"unordered","items":["Karekök hesaplamada iki yöntem vardır: tam kare çarpanı bulma ve asal çarpanlar algoritması.","Tam kare çarpanı bulma yöntemi: Örneğin √50 hesaplanırken, 50=25×2 şeklinde yazılır ve √25=5 olduğu için sonuç 5√2 olur.","Asal çarpanlar algoritması: Örneğin √350 hesaplanırken, 350=2×5²×7 şeklinde asal çarpanlarına ayrılır, ikili olan 5² dışarı çıkarılır ve sonuç 5√14 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olarak ifade edilir.","Karekök 200, farklı yöntemlerle 10√2, 2√50 veya 5√8 şeklinde yazılabilir.","LGS tarzı sorularda karekök 200'i a√b şeklinde yazıp a+b toplamını bulmak isteyebilir."]},"beginTime":440,"endTime":637,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=440&ask_summarization=1"},{"index":5,"title":"Karekök İçine Katsayıyı Sokma","list":{"type":"unordered","items":["Sıralama sorularında katsayıyı karekök içine sokarak karşılaştırma yapılabilir.","3√5 ifadesinde 3 katsayısı içeri girerken karesi olan 9 olarak girer, sonuç olarak √45 elde edilir.","4√6 ifadesinde 4 katsayısı içeri girerken karesi olan 16 olarak girer, sonuç olarak √96 elde edilir."]},"beginTime":637,"endTime":788,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=637&ask_summarization=1"},{"index":6,"title":"Yaklaşık Değer Soruları","list":{"type":"unordered","items":["Kareköklerin yaklaşık değerini bulmak için katsayıyı içeri sokup hangi tam kareler arasında olduğu belirlenir.","2√7 ifadesinde 2 katsayısı içeri girerken 4 olarak girer, sonuç olarak √28 elde edilir.","√28, 25 (5²) ile 36 (6²) arasında olduğundan, 5 ile 6 arasındadır."]},"beginTime":788,"endTime":835,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=788&ask_summarization=1"},{"index":7,"title":"Kareköklerle Sıralama Problemi","list":{"type":"unordered","items":["Üstten görünümü ve dikdörtgen şeklindeki bahçenin en uzun ve en kısa kenarını bulmak için sıralama yapılır.","a=4√5, b=5√3, c=9, d=3√10 ifadeleri karekök içine alınarak karşılaştırılır.","En uzun kenar d=√90, en kısa kenar b=√75 olarak bulunur."]},"beginTime":835,"endTime":960,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=835&ask_summarization=1"},{"index":8,"title":"Kareköklü Sayılarla Çarpma İşlemi","list":{"type":"unordered","items":["Kareköklü sayılarla çarpma işlemi oldukça basit: karekök 3 çarpı karekök 5 = karekök 15 şeklinde yazılır.","Normal sayı ile kareköklü sayı çarpıldığında, normal sayı karekökün önünde yazılır (örneğin 8 çarpı karekök 5 = 8 kök 5).","Çarpma işleminde önce normal sayılar çarpılır, sonra kareköklü sayılar çarpılır ve karekök içinde kalır."]},"beginTime":962,"endTime":1071,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=962&ask_summarization=1"},{"index":9,"title":"Kareköklü Sayıların Sadeleştirme","list":{"type":"unordered","items":["Kareköklü sayıları sadeleştirmek için içindeki sayı çarpanlarına ayrılır (örneğin karekök 48 = karekök 16×3 = 4 kök 3).","Karekök içinde tam kare olan sayılar dışarı çıkarılır ve kalan sayı içeride kalır.","Kareköklü sayılar sadeleştirildikten sonra, içindeki sayı tam kare değilse, o sayı içeride kalır."]},"beginTime":1071,"endTime":1141,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1071&ask_summarization=1"},{"index":10,"title":"Kareköklü Sayılarla Bölme İşlemi","list":{"type":"unordered","items":["Kareköklü sayılarla bölme işlemi yapılırken, payda karekök içindeki sayı ters çevrilip çarpılır.","Rasyonel sayılarla bölme işleminde kullanılan \"ikinciyi ters çevirip çarpma\" kuralı kareköklü sayılarla da geçerlidir.","Bölme işleminden sonra kareköklü sayılar sadeleştirilir ve içindeki sayı tam kare değilse içeride kalır."]},"beginTime":1141,"endTime":1380,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1141&ask_summarization=1"},{"index":11,"title":"Matematik Problemi Çözümü","list":{"type":"unordered","items":["Bir dikdörtgenin alanı a cm², bir karenin kenar uzunluğu b cm olarak verilmiş ve a'nın b'ye oranı sorulmuş.","Dikdörtgenin alanı karekök 108 ile karekök 54'ün çarpımı olan 18√18 cm² bulunmuş.","Karenin alanı 72 cm² olduğu için kenarı √72 = 6√2 cm bulunmuş ve a'nın b'ye oranı 9 olarak hesaplanmış."]},"beginTime":1386,"endTime":1578,"href":"/video/preview/11458306055450146844?parent-reqid=1771539008637713-244873354498093403-balancer-l7leveler-kubr-yp-klg-73-BAL&text=condryx08&t=1386&ask_summarization=1"},{"index":12,"title":"Havuz Problemi","list":{"type":"unordered","items":["Dikdörtgen prizma şeklinde bir havuzun üstten görünümünün yüzey alanı 64 metrekaredir ve kenarlarını oluşturan 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