Prove there exist two irrational numbers A and B such that A^B is rational.

(In reply to No Subject by Ady TZIDON)

Indeed. Since:

(((x)^(1/2))^((x)^(1/2))) =x^((x^(1/2))/2), it follows that:
(((x)^(1/2))^((x)^(1/2)))^((4x)^(1/2)) = x^x,

so an infinite supply of candidates is assured.

Posted by broll on 2013-03-27 04:36:56