Question

Reduce $\sqrt{34560}$ to its simplest form

Answer 1

Observe $34560=2^8{3}^{3}5$. Hence we have
$\sqrt{34560}=\sqrt{\left(2^8{3}^2\right)}\times \sqrt{15}=48\sqrt{15}$.
Thus the simplest form of $\sqrt{34560}$ is $48\sqrt{15}$.