Question

Find the square root of $9216$ by Prime factorization method.

Answer 1

Solve for the square root of given number

Given number is $9$

$\therefore$By prime factorization,

$9216=2^5\times 2^5\times 3^2$

Applying square root on both sides,

$\sqrt{9216}=\sqrt{2^5\times 2^5\times 3^2}$

$=2^5\times 3=32\times 3=96$

Hence, the square root of $9216$ is $96$.