Question

Find the square root of the following number by the prime factorisation method.
$4356$

Answer 1

The factors of $4356$ are,

$4356=2\times 2\times 3\times 3\times 11\times 11$

Take square root on both sides,

$\sqrt{4356}=\sqrt{2\times 2\times 3\times 3\times 11\times 11}$

$=\sqrt{2^2\times 3^2\times {11}^2}$

$=\sqrt{{\left(2\times 3\times 11\right)}^2}$

$=2\times 3\times 11$

$=66$

Therefore, the square root of $4356$ is $66$.