Question

Find the square root of the following number by the prime factorisation method.
$9216$

Answer 1

We can factorize $9216$ as $2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 3\times 3$
$\Rightarrow 9216=2^2\times 2^2\times 2^2\times 2^2\times 2^2\times 3^2$
$\Rightarrow \sqrt{9216}=\sqrt{2^2\times 2^2\times 2^2\times 2^2\times 2^2\times 3^2}$
$\Rightarrow \sqrt{9216}=2\times 2\times 2\times 2\times 2\times 3=32\times 3=96$
Thus answer is $96$.