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

Prove there exist two irrational ....

There are definitely more .

.Examples: ((sqrt2)^(sqrt2))^(sqrt2)=  (sqrt2)^((sqrt2)*(sqrt2))=  (sqrt2)^2   = 2

 

  (sqrt2)^(log base(sqrt 2) of 77)  =  77  etc

 

 Evem  transcendental and complex numbers can cause an integer result e.g. e^pi*i=-1.

Proofs: trivial

Edited on March 27, 2013, 4:07 am

Posted by Ady TZIDON on 2013-03-27 03:48:31