- #1

vinnie

- 23

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## Homework Statement

For all natural numbers, a and b, if a and b are both even, then (a^2+b^2) is not a perfect square. (prove this)

## Homework Equations

## The Attempt at a Solution

I tried proving by contradiction and got (2s)^2 +(2t)^2 =k^2.

which translates to 4s^2 +4t^2=k^2.

I don't know how to form the contradiction from here. Is it even possible?