Exercise 1.1 | Chapter 1 Real Numbers | Class 10 Maths | NCERT New Syllabus 2026
EXERCISE 1.1 1. Express each number as a product of its prime factors: (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429 2. Find the LCM and HCF of the following pairs of integers and verify that LCM × HCF = product of the two numbers. (i) 26 and 91 (ii) 510 and 92 (iii) 336 and 54 3. Find the LCM and HCF of the following integers by applying the prime factorisation method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25 4. Given that HCF (306, 657) = 9, find LCM (306, 657). 5. Check whether 6^n can end with the digit 0 for any natural number n. 6. Explain why 7 × 11 × 13 + 13 and 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 are composite numbers. 7. There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the My Telegram Channel Please Join : https://t.me/mankiganit My Telegram Group Please Join : https://t.me/+UTk9aqHoevaQhhtM All Model Papers Links : https://drive.google.com/drive/folder... Sanjiv Desk Work Solution :: • Sanjiv Desk Work Class 8 Maths Model Paper PDF Solution Link :: https://drive.google.com/drive/folder... Class 6 Maths English Medium : • Class 6 Maths | All Exercise of All C... Class 7 Maths English Medium : • Class 7 Maths | All Exercise of All C... Class 8 Maths English Medium : • Class 8 Maths | New Syllabus 2026 | 2... Class 9 Maths English Medium : • Class 9 Maths NCERT | New Syllabus 20... Class 10 Math English Medium : • Class 10 Maths | New Syllabus 2026 | ... Class 12 Accounts English Medium : • Class 12 Accountancy | English Medium Half Yearly Exam Paper Solution :: • New Half Yearly Exam Paper Solution 2024 Class 9 Maths RD Sharma English Medium : • RD Sharma Class 9 Math English Medium Class 9 Maths Dr Manohar Ray English Medium :: • Dr. Manohar re ||Class 9th Maths Class 8 Maths Hindi Medium : • In Hindi | Class 8 Maths | All Exerci... Class 9 Maths Hindi Medium : • In Hindi | Class 9 Maths | New Syllab... Class 10 Math Hindi Medium : • In Hindi | Class 10 Maths | All Exerc... Class 12 Accountancy Hindi Medium : • Class 12 | Accountancy | In Hindi Medium 00:00 Class 10th Maths Real Numbers🔥 | 15 MOST IMPORTANT QUESTIONS🚀 | 2025 Board 02:00 REAL NUMBERS in Maths Class 10🔥 Most Important Questions +PYQ SOLVED | Maths 04:00 Real Numbers || Class X || question NO 01 #oaks #quiz 06:00 Class 10 Maths Chapter 1 | Real Numbers | LCM and HCF #trending #fun 08:00 Class 10th, Real Numbers 20 Most Important Questions || CBSE Board || Pyqs Class 10 10:00 Class 10 Maths Chapter 1 Real Number Guaranteed Question in Board Exam 2025🔥 12:00 Class 10 Maths | Real Numbers | Exercise 1.2 Question 1 | CBSE NCERT #class10 #cbse 14:00 10 Most Important Questions (Repeated PYQ) - Real Numbers Class 10 Maths 🔥 CBSE On 16:00 Class 10 Maths Chapter 1 | Real Numbers | Girls Vs Boy #trending #fun #mathschallenge 18:00 Maths Important Questions Class 10th | Real Numbers 100% Guaranteed Questions 20:00 Class 10th Maths Boards ke Liye Most Important Questions List Chapterwise 22:00 Class 10 : Top 30 PYQ'S Maths Paper 2025 🔥 | class 10 maths paper 2025 | maths class 24:00 REAL NUMBERS के बस ये Questions करलो | Class 10 CBSE Boards 2025 | Maths Most सिद्ध करो एक √2 अपरिमेय संख्या हैं Prove that √2 or √3 or √5 is a irrational number | Mann Ki Ganit Theorem 1.4 : prove that √2 is irrational. Example 9 : Prove that √3 is irrational. EXERCISE 1.3 Q1. Prove that √5 is irrational. प्रमेय 1.4 : सिद्ध कीजिए कि √2 अपरिमेय है। उदाहरण 9 : सिद्ध कीजिए कि √3 अपरिमेय है। व्यायाम 1.3 Q1. सिद्ध कीजिए कि √5 अपरिमेय है। Example 10 : Show that 5– √3 is irrational. Example 11 : Show that 3√2 is irrational. Q2. Prove that 3 + 2√5 is irrational. Q3. Prove that the following are irrationals : (i) 1 / √2 (ii) 7√5 (iii) 6 + √2 उदाहरण 10 : दर्शाइए कि 5- √3 अपरिमेय है। उदाहरण 11 : दर्शाइए कि 3√2 अपरिमेय है। प्रश्न २. सिद्ध कीजिए कि 3 + 2√5 अपरिमेय है। Q3. सिद्ध कीजिए कि निम्नलिखित अपरिमेय हैं: (i) 1 / 2 (ii) 7√5 (iii) 6 + 2
