Can an irrational number, raised to an irrational power, give a rational result?

a = sqrt(2) (this is irrational)

b = sqrt(2)^sqrt(2)  (this is irrational)

b^a = (sqrt(2)^sqrt(2))^sqrt(2) = sqrt(2)^(sqrt(2)*sqrt(2)) = sqrt(2)^2 = 2

-Jer

 

** fixed formatting **

Edited on December 20, 2004, 5:10 pm

Posted by Jer on 2004-12-20 17:09:14