Question

find the smallest number by which each of the following number must be divided to make it a perfect cube 576

Answer 1

$\sqrt{24}$

Answer 2

Hey! there Buddy!
576 is a perfect square of 24 then we can write it as
$24 \times 24 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$
so by this factorisation, we can say that 9 is the smallest no. by which 576 should be Divided