Question

find the square root of 13225 by factorization method

Answer 1

Hope this helps you..

Answer 2

Answer:

The square root of 13225 is 115

Step-by-step explanation:

Given : Number = 13225

To Find :find the square root of 13225 by factorization method

Solution:

5   | 13225

5   | 2645

23 |  529

23 | 23

    | 1

So, $13225 = 5 \times 5 \times 23 \times 23$

$13225 = 5^2 \times 23^2$

$\sqrt{13225} = \sqrt{5^2 \times 23^2}$

$\sqrt{13225} =5 \times 23$

$\sqrt{13225} =115$

Hence the square root of 13225 is 115