n=p(adsbygoogle = window.adsbygoogle || []).push({}); _{1}^{r1}...p_{k}^{rk}

In order for p to be a perfect square, r must be even. Therefore

n=p_{1}^{2h1}...p_{k}^{2hk}

taking the square root of both sides i'm just left with

n=p_{1}^{h1}...p_{k}^{hk}

Does this work as a proof that n is a perfect square if r is even? It's a homework problem and I'm not sure if this is sufficient or correct at all.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proof of Perfect Squares

**Physics Forums | Science Articles, Homework Help, Discussion**