Ex. 1.2 Real Numbers | Ch-1 Class 10 Maths | Sanyam Bhayana

Complete solutions for Ex. 1.2 of Class 10 Maths Chapter 1 Real Numbers — proving the irrationality of √5, 3 + 2√5, 1/√2, 7√5, and 6 + √2 using proof by contradiction. Rationalised NCERT, updated for CBSE Board Exams 2027. 📌 TELEGRAM (NOTES): https://t.me/+cbiN5dwvTSNkZTg1 📲 INSTAGRAM:   / sanyambhayanaclass9and10   ___________________________________________ ✅ QUESTIONS COVERED IN THIS LECTURE: Q1. Prove that √5 is irrational. Q2. Prove that 3 + 2√5 is irrational. Q3. Prove that the following are irrational: (i) 1/√2 (ii) 7√5 (iii) 6 + √2 ___________________________________________ 📚 This lecture is useful for Class 10 students of CBSE, ICSE, UP Board, Bihar Board, MP Board, Haryana Board, Punjab Board, and all other state boards following the Rationalised NCERT syllabus for Board Exams 2027. ___________________________________________ 👨‍🏫 ABOUT THE TEACHER: Sanyam Bhayana is a Class 12 State Topper (99.8%) and Gold Medalist from Shri Ram College of Commerce (SRCC), New Delhi. He has helped hundreds of students score 100/100 in board exams. ___________________________________________ ⏱ CHAPTERS: 0:00 Introduction 0:40 Q1 — Prove √5 is Irrational 6:13 Q2 — Prove 3 + 2√5 is Irrational 9:04 Q3(i) — Prove 1/√2 is Irrational 10:59 Q3(ii) — Prove 7√5 is Irrational 12:00 Q3(iii) — Prove 6 + √2 is Irrational ___________________________________________ 💬 Got a doubt? Drop it in the comments — Sanyam Sir answers personally. ___________________________________________ 📂 CLASS 10 MATHS COMPLETE NCERT PLAYLIST: [Playlist link — add once available] ___________________________________________ Ex. 1.2 Class 10 Maths Real Numbers covers proof by contradiction to show that √5, 3 + 2√5, 1/√2, 7√5, and 6 + √2 are irrational — a frequently tested topic for CBSE Board Exams 2027. Essential for students of UP Board, Haryana Board, Bihar Board, and all state boards following the Rationalised NCERT textbook. Ex 1.2 Class 10 Maths Real Numbers, class 10 maths chapter 1 exercise 1.2, prove root 5 is irrational, irrational numbers class 10 proof, proof by contradiction class 10 maths, class 10 maths CBSE boards 2027, real numbers class 10 rationalised NCERT, 3 plus 2 root 5 irrational, 7 root 5 irrational class 10, 6 plus root 2 irrational, class 10 maths in Hindi, fundamental theorem of arithmetic class 10, class 10 maths new NCERT 2026-27, Sanyam Bhayana class 10 maths