# Math Help - I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is a

1. ## I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is a

I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is also a sum of two squares. Thanks in advance!

3. ## Re: I need help in proving " If m is a sum of two squares, then the integer (N^2)(m)

Originally Posted by erockdontstop
I need help in proving " If m is a sum of two squares, then the integer (N^2)(m) is also a sum of two squares. Thanks in advance!
Its very simple;
if $m=(a^2 + b^2)$ then
$N^2 m=N^2(a^2+b^2)=N^2 a^2 +N^2 b^2=(Na)^2+(Nb)^2$