- #1
rerouter
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Homework Statement
Question: If n|a^2 and n|b^2 prove or disprove that n|ab.
I think this is true, but am having trouble proving it.
Homework Equations
a^2=nm, b^2=nk
a^2-b^2=n(m-k)
a^2+b^2=n(m+k)
The Attempt at a Solution
Essentially I've tried all sorts of algebraic ways to show that ab=n(something), but can't for the life of me find a way to show this. I must be missing something embarassingly obvious.
Any hints appreciated.