Question

Find Square Root
by factarization
method
5625​

Answer 1

Answer:

don't know sorry for points only

Answer 2

Given :  number 5625  

To find:  square root by prime factorization

Solution :

5625 =  3 *  1875

=> 5625 =  3 * 3 * 625

=> 5625 = 3 * 3 * 5 * 125

=> 56265 =  3 * 3 * 5 * 5 * 25

=> 5625 = 3 * 3 * 5 * 5 * 5 * 5

=> 5625 = 3² * 5² * 5²

=> 5625 = ( 3* 5 * 5)²

=> 5625 = 75²

√5625 = √ 75²

=> √5625 = 75