Question

Find the square root of $256$

Answer 1

Find the square root of $256$ using prime factorization method

The prime factors of $256$ can be written as

$256=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$

Taking Square root on both sides

$\Rightarrow$$\sqrt{256}=\sqrt{2\times 2\times 2\times 2\times 2\times 2\times 2\times 2}$

$\Rightarrow$$\sqrt{256}=2\times 2\times 2\times 2$

$\Rightarrow$ $\sqrt{256}=16$

Hence the square root of $256$ is $16$