Question

Find the square root of a number $8100$ by Prime Factorisation Method.

Answer 1

Using prime factorisation method:

$8100=2\times 2\times 5\times 5\times 3\times 3\times 3\times 3$
$\Rightarrow 8100=2^2\times 5^2\times 3^2\times 3^2$

Taking square root on both sides, we get
$\sqrt{8100}=\sqrt{2^2\times 5^2\times 3^2\times 3^2}$

$=2\times 5\times 3\times 3$
$=90$