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prove that if n is a perfect square then n 2 is not perfect square
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Prove that if n is a perfect square,then n+2 is not perfect square
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Answer to a math question Prove that if n is a perfect square,then n+2 is not perfect square
Jett
4.7
96
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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