Question

2. Find the square roots of the following by
prime factorisation :
1) 196
(ii) 256
Mini) 676
Lib) 1369
v) 1764
(vi) 9216
(vii) 54756.​

Answer 1

Step-by-step explanation:

1.Prime factorization of 196: 22 × 72

2.Prime factors of 196 in pairs: (2 × 2) × (7 × 7)

3.Now square root of 196: √196 = √(2 × 2) × (7 × 7) √196 = √(2 × 7)2 √196 = (2 × 7) = 14.