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

• February 6th 2013, 01:44 AM
erockdontstop
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!
• February 6th 2013, 03:53 AM
ibdutt
Re: I need help in proving " If m is a sum of two squares, then the integer (N^2)(m)
• February 6th 2013, 04:48 AM
earthboy
Re: I need help in proving " If m is a sum of two squares, then the integer (N^2)(m)
Quote:

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
$N^2 m=N^2(a^2+b^2)=N^2 a^2 +N^2 b^2=(Na)^2+(Nb)^2$