Question

Find the square root of the following number by factorisation.
$256$

Answer 1

For factorization of the number $256$

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

$=2^2\times 2^2\times 2^2\times 2^2$

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

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

$\sqrt{256}=16$