Category:Proofs

Suppose that n^2 is a perfect square. then upon division by 3, there exists an integer q uch thatn has one of the folowing forms: n= 3q, n= 3q+1, or ne 3q+2. considiring each form separately, three possible results of n^2 if n = 3q, then n^2 = 9q^2 thus, n^2 = 3(3q^2)