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

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February 6th 2013, 12:44 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, 02:53 AM
ibdutt

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

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February 6th 2013, 03:48 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
$N^2 m=N^2(a^2+b^2)=N^2 a^2 +N^2 b^2=(Na)^2+(Nb)^2$

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