Question
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
4.797 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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