Trying to prove or disprove this statement:
For all real numbers A, B, if $AB$ is rational and $A+B$ is rational, then $A^2$+$B^2$ is rational
Ive hit a wall as Im assuming A and B must either be rational or irrational in order for A+B to be rational (ex. A = $\sqrt2$ and B = $-\sqrt2$, or just A = 2 and B = 3), but that's not really getting me any further into proving or disproving the statement