Find the square root of 96 1 25 .

Given, to find the square root of 96 1 25 . So, 96 1 25 = 2401 25 Prime factorization of 2401 is, 7 2401 7 343 7 49 7 7 1 Therefore, 7 × 7 × 7 × 7 5 × 5 = 7 × 7 5 ⇒ 49 5 = 9 4 5 Hence, the required answer is 9 4 5 .

Evaluate:- 14 .4 22 .5

Given, to find the square root of 14 .4 22 .5 . We know that the square root of a given number x is the number whose square is x . Thus, 14 .4 22 .5 = 144 × 10 225 × 10 = 144 225 Therefore, 144 225 = 2 × 2 × 2 × 2 × 3 × 3 3 × 3 × 5 × 5 = 12 15 ⇒ 4 5 = 0 . 8 Hence, the required answer is 0 . 8 .

Evaluate:- 0 .225 28 ⋅ 9

Given, to find the square root of 0 .225 28 ⋅ 9 . We know that the square root of a given number x is the number whose square is x . Thus, 0 . 225 28 . 9 = 225 × 10 289 × 1000 = 225 289 × 100 Therefore, 225 289 × 100 = 3 × 3 × 5 × 5 17 × 17 × 10 × 10 = 15 170 ⇒ 3 34 Hence, the required answer is 3 34 .

Evaluate:- 25 32 × 2 13 18 × 0 .25

Given, to find the square root of 25 32 × 2 13 18 × 0 .25 . We know that the square root of a given number x is the number whose square is x . Thus, 25 32 × 2 13 18 × 0 .25 = 25 32 × 49 18 × 25 100 ⇒ 5 × 5 × 7 × 7 × 5 × 5 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 10 × 10 ⇒ 5 × 5 × 7 2 × 2 × 2 × 3 × 10 = 35 48 Hence, the required answer is 35 48 .