Show that α=³√(7+5√2)+³√(7-5√2) is an integer. No calculators or computers allowed!

(In reply to Algebraically by e.g.)

We could still have an integer solution with a being something like 5/2. It was "lucky" that trying a=1 produced b=1; it need not happen.

Posted by Federico Kereki on 2004-10-14 01:00:24