Question

Find the square root of $961$ by using prime factorization.

Answer 1

Solve for the square root of given number

Given number is $961$

$\therefore$ By prime factorization,

$961=31\times 31$

Applying square root on both sides,

$\sqrt{961}=\sqrt{31\times 31}$

$\therefore \sqrt{961}=31$

Hence, the square root of $961$ is $31$.