document.write( "Question 206269: the sum of two squares is an even number \n" ); document.write( "

Algebra.Com's Answer #155831 by Marth(57) $\"\"$ $\"About$

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$\"a%5E2%2Bb%5E2\"$ is even.\r
\n" ); document.write( "\n" ); document.write( "Any even number squared is even, and any odd number squared is odd.
\n" ); document.write( "Adding two even numbers or two odd numbers results in an even number.

\n" ); document.write( " $\"a%5E2%2Bb%5E2\"$ is even is true for all a and b such that a and b are both even or both odd. \n" ); document.write( "

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