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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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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=1769225020688577-17573244892789433000-balancer-l7leveler-kubr-yp-sas-205-BAL&text=8itfrix&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 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