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Let n be an integer. Prove that if n is a perfect square (see below for...

Let n be an integer. Prove that if n is a perfect square (see below for the definition) then n + 2 is not a perfect square. (Use contradiction) Definition : An integer n is a perfect square if there is an integer b such that a = b 2 . Example of perfect squares are : 1 = (1)2 , 4 = 22 , 9 = 32 , 16, · ·

Use Contradiction proof method

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