What is a square of a number? A^2=A*A. If A=B squaring both sides will give A^2=B^2. How I think about squaring is we multiply both sides of A=B by A(we could also do this for B) we get A*A=B*A but A=B so this will result in A*A=B*B. But if we do this for an inequality, A>B, multiplying both sides by A will yield two scenarios(when A>0 and A<0) A*A>B*A and A*A<B*A in both cases A≠B. So is it possible to square an inequality?