SOLUTION: Prove that the product of two consecutive nonzero even integers is never a perfect square. NOTE: Please use proof by CONTRADICTION!!

Question 1132066: Prove that the product of two consecutive nonzero even integers is never a perfect square.
NOTE: Please use proof by CONTRADICTION!!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Prove that the product of two consecutive nonzero even integers is never a perfect square.
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Use (n-1) and (n+1)
Product = n^2 - 1
Notice it also applies to 2 consecutive odd integers, and to fractions that differ by 2.
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Don't use all CAPS and !!

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