Question

Find the cube root of $216$ by factorisation.

Answer 1

Observe
$216=2\times \left(108\right)=2\times 2\times \left(54\right)=2\times 2\times 2\times 27=2\times 2\times 2\times 3\times 3\times 3$
$=(2\times 3)\times (2\times 3)\times (2\times 3)$
$=6\times 6\times 6$
Hence $\sqrt[3]{3216}=6$