Im stuck on this homework problem that im not sure if i am doing right and it is due tommorow:
Prove that there is no perfect square of the form 4k+3?
k is even
k=2n for some n in Z
4(2n)+3=8n+3 which is odd so there is no perfect square if k is even
k is odd
k=2n+1 for some n in Z
4(2n+1)+3 = 8n+7 which is not of the form 4k+3 there for there is no perfect square