Question

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

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Jett

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52 Answers

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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