(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hi everyone.

I'm studying a problem and I need to prove that I have a basis. I tryed a proof and to achieve it I need to show that :

if k divides a*b and also divides a^{2}+2*b^{2}Then k divides both a and b.

2. Relevant equations

I'm not sure what I'm asserting is true but if it was, then it would be great for me ( cause my proof would be finished).

I first thought that if k divided a sum then it divided every term of that sum but I understood it was wrong (the other way is correct).

I'm taking any idea!

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# Homework Help: Basis arithmetic problem

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