Question

2. By splitting into prime factors, find the square root of: ( 11025 (ii) 396900 ) 194481 ​

Answer 1

Step-by-step explanation:

By prime factorization method

(i) 11025 = 3x3x5x5x7x7

11025 = (3x5x7)2

Hence the square root of 11025 is 105.

(ii) 396900 = 2x2x3x3x3x3x5x5x7x7

396900 = (2x3x3x5x7)2

Hence the square root of 396900 is 630.

(ii) 194481​ = 3x3x3x3x7x7x7x7

194481 = (3x3x7x7)2

Hence the square root of 194481 is 441.