Prove that if n is a perfect square,then n+2 is not perfect square



Answer to a math question Prove that if n is a perfect square,then n+2 is not perfect square

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Suppose n=a^2 and n+2=\:b^2 with a and b integers. Then b^2-a^2=2 which causes us to believe that b−a=1 and b+a=2 or even worse, b=1.5 — Contradiction

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