Question

Find the square root of $32$.

Answer 1

Factorize the given number:

The prime factorization of $32$ is $2\times 2\times 2\times 2\times 2$.

$\Rightarrow \sqrt{32}=\sqrt{2\times 2\times 2\times 2\times 2}$

$\Rightarrow$ $=\sqrt{2^2\times 2^2\times 2}$

$\Rightarrow$ $=4\sqrt{2}$

$\Rightarrow$ $=4\times 1.414$

$\Rightarrow$ $\sqrt{32}=5.656$

Hence, the square root of $32$ is $5.656$