Question

Find the square root of $1296$.

Answer 1

Finding the square root

Given number, $1296$

A perfect square can always be expressed as a product of pairs of equal factors.

Using Prime Factorization method,

$\Rightarrow 1296=2\times 2\times 2\times 2\times 3\times 3\times 3\times 3=2^4\times 3^4$

Hence, square root of $1296=\sqrt{2^4\times 3^4}=2^2\times 3^2=4\times 9=36$.