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SOLVED: An integer a is a perfect square if there is an integer b such that a = b^2.Assume that m and n are both perfect squares.This tells us that mn = s^2 2.It follows that there are integers s and t such that m = s^2 and n = t^2.Hence, mn = (s^2)(t^2) = (st)^2, using commutativity and associativity of multiplication.It follows that mn is a perfect square, as it can be expressed as the square of st, which is an integer.
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