Find the smallest positive integer $k$ such that $72k$ is both a perfect square and a perfe

Question

Find the smallest positive integer $k$ such that $72k$ is both a perfect square and a perfect cube. State $72k$, its square root, and its cube root. Optional hint: What must be true of an exponent that is both even and a multiple of $3$?

Accepted Answer

$k=648$, $72k=46656$, Square root: $216$, Cube root: $36$

Primes, HCF and LCM

Primes, HCF and LCM

Solution:

Solution locked