Question

square root of 289000 by Prime factorization by showing full method.​

Answer 1

STEP BY STEP:

Given a number 28900

we have to find the square root of given number using prime factorization.

The prime factorization of 28900 is

The prime factors are: 2 x 2 x 5 x 5 x 17 x 17  

or also written as { 2, 2, 5, 5, 17, 17 }

Written in exponential form: 2² x 5² x 17²

Hence, square root of 28900 is 170