Question

if x and y are odd then x²+y² can't be a perfect square.prove​

Answer 1

Answer:

If x and y are odd, prove that x2 + y2 can not be a perfect square. x2 + y2 = (2k + 1)2 + (2m + 1)2 = 4(k2 + k + m2 + m) +2 which is not a multiple of 4 and hence not a perfect square. #12. ... Thus x2 + y2 is of the form 3k + 2 and hence can't be a perfect square.