Trying to think of different ways to prove this, besides method of sqrt. Help will be greatly appreciated.
Given $ab=m^2$, $bc=n^2$, prove that $mn$ is divisible by $b$?
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elementary-number-theory
proof-writing
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1This might be useful for you: [If $a^2$ divides $b^2$, then $a$ divides $b$](http://math.stackexchange.com/questions/182988/if-a2-divides-b2-then-a-divides-b). – 2012-09-29
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0From the assumptions you have $b|m^2$ and $b|n^2$ then $b^2|\ldots$ – 2012-09-29