Question

Find the square root of a number $4096$ by prime factorisation method.

Answer 1

By prime factorisation method, we have

$4096=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2$
$\Rightarrow 4096=2^2\times 2^2\times 2^2\times 2^2\times 2^2\times 2^2$

Taking square root, we have
$\sqrt{4096}=\sqrt{2^2\times 2^2\times 2^2\times 2^2\times 2^2\times 2^2}$
$=2\times 2\times 2\times 2\times 2\times 2=64$