Chapter 1 : Real Numbers | Class 10 | Board Exam | #realnumbers #class10 #class10maths

📚 Class 10 Maths Chapter 1: Real Numbers | Complete Chapter Explanation & PYQs | CBSE Board 2026-27 In this video, we cover the entire Chapter 1: Real Numbers of Class 10 CBSE Mathematics in a clear, topic-by-topic manner! Every concept is explained from scratch with step-by-step solved Board examples and Previous Year Questions (PYQs). 🎯 What You Will Learn in This Video: ✅ Classification of Real Numbers (Rational & Irrational Review) ✅ The Fundamental Theorem of Arithmetic (Unique Prime Factorization) ✅ Relation Between HCF and LCM: HCF(a, b) × LCM(a, b) = a × b ✅ Step-by-Step Proof of Irrationality (Proof by Contradiction for √2, √3, √5, 3 + 2√5) ✅ Important NCERT Questions & CBSE Board PYQs Explained --- 📌 TIMESTAMPS: 00:00 - Introduction & Chapter Weightage 01:15 - Overview of Real Numbers System 05:30 - Fundamental Theorem of Arithmetic 12:45 - Finding HCF and LCM using Prime Factorization 20:10 - Important Formula: HCF(a, b) × LCM(a, b) = a × b + Examples 30:15 - Proof of Irrationality (Theorem & Step-by-Step Method) 42:50 - Solved CBSE Board Previous Year Questions (PYQs) 52:00 - Important NCERT Exemplar & Mind Map Summary --- 💡 TOPIC SUMMARY & FORMULAS TO REMEMBER: • Prime Factorization: Every composite number can be uniquely expressed as a product of primes (ignoring order). • HCF = Product of the smallest power of each common prime factor. • LCM = Product of the greatest power of each prime factor involved. • Product Law: For two positive integers a and b: 👉 HCF(a, b) × LCM(a, b) = a × b (Note: Only valid for two numbers!) 🔔 DON'T FORGET TO: 👍 LIKE this video if you found it helpful! 💬 COMMENT your doubts below—we reply to every question! 📢 SHARE this video with your Class 10 batchmates and study groups! 🔔 SUBSCRIBE & turn on notifications for complete Class 10 Maths coverage! #Class10Maths #RealNumbers #CBSEClass10 #Class10Boards #NCERTMaths #BoardExamPreparation #MathsClass10 #CBSE2026