3. Prove that the following are irrationals: (i) (1over{sqrt{2}}) (ii) (7sqrt{5}) (iii) (6+sqrt{2}) Previous Next Class 10 Real Numbers Exercise 1.2 1. Prove that (sqrt{5}) is irrational. 2. Prove that (3+2sqrt{5}) is irrational. 3. Prove that the following are irrationals : (i)…
2. Prove that 3 + 2√5 is irrational. Previous Next Class 10 Real Numbers Exercise 1.2 1. Prove that (sqrt{5}) is irrational. 2. Prove that (3+2sqrt{5}) is irrational. 3. Prove that the following are irrationals : (i) (1over{sqrt{2}}) (ii) (7sqrt{5}) (iii) (6+sqrt{2})…
1. Prove that √5 is irrational. Previous Next Class 10 Real Numbers Exercise 1.2 1. Prove that (sqrt{5}) is irrational. 2. Prove that (3+2sqrt{5}) is irrational. 3. Prove that the following are irrationals : (i) (1over{sqrt{2}}) (ii) (7sqrt{5}) (iii) (6+sqrt{2}) Leave A…
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 same point and at the same…
6. Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite numbers. Previous Next Class 10 Real Numbers Exercise 1.1 1. Express each number as a product of its prime factors : (i) 140 …
5. Check whether 6n can end with the digit 0 for any natural number n. Previous Next Class 10 Real Numbers Exercise 1.1 1. Express each number as a product of its prime factors : (i) 140 …
4. Given that HCF (306, 657) = 9, find LCM (306, 657). Previous Next Class 10 Real Numbers Exercise 1.1 1. Express each number as a product of its prime factors : (i) 140 …
3. Find the LCM and HCF of the following integers by applying the prime factorization method. (i) 12, 15 and 21 (ii) 17, 23 and 29 (iii) 8, 9 and 25 Previous Next Class 10…
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)…
1. Express each number as a product of its prime factors : (i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 7429…
