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Trying to think of different ways to prove this, besides method of sqrt. Help will be greatly appreciated.

  • 1
    This 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
  • 0
    From the assumptions you have $b|m^2$ and $b|n^2$ then $b^2|\ldots$2012-09-29

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