Let $$M=2^5\times3^4.$$ Find the smallest positive integer $N$ such that $MN$ is both a per

Question

Let $$M=2^5\times3^4.$$ Find the smallest positive integer $N$ such that $MN$ is both a perfect square and a perfect cube. Then find: $\sqrt{MN}$; $\sqrt[3]{MN}$. Explain why your $N$ is the smallest.

Accepted Answer

$N=18$; (a) $216$; (b) $36$.

Indices

Indices

Solution:

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