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!
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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 $\displaystyle m=(a^2 + b^2)$ then $\displaystyle N^2 m=N^2(a^2+b^2)=N^2 a^2 +N^2 b^2=(Na)^2+(Nb)^2$
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