SOLUTION: Prove that if 'n' is a positive integer, and 'n^2' is even, then n is also even. Thank You for your help!

Algebra ->  Geometry-proofs -> SOLUTION: Prove that if 'n' is a positive integer, and 'n^2' is even, then n is also even. Thank You for your help!      Log On


   



Question 169478: Prove that if 'n' is a positive integer, and 'n^2' is even, then n is also even.
Thank You for your help!

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
If 2 even integers are multiplied the result is always even.
When squaring an even integer two even integers are multiplied.
.
Ed