How do you prove that p, q and r must be perfect squares?
I recently happened upon a problem that I unfortunately am not able to make any progress on. Here it is:
Let be integers.
If , prove that must be perfect squares.
I also asked this on yahoo answers hereProve that p, q and r must be perfect squares? - Yahoo! Answers .But, I don't think that those solutions address the possibility of having three or two irrational numbers that add up to an integer.
Thank you. Any help with this problem is appreciated.