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If you are given the fact that if m, n ∈ Z such that mn is...

If you are given the fact that if m, n ∈ Z such that mn is divisible by a prime number p, then m or n is divisible by p. How do you use this to prove that for all n ∈ Z, √ n is rational if and only if there exists m ∈ Z such that n = m^2?

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