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Rational Result? Ridiculous! (Posted on 2004-12-20) Difficulty: 3 of 5
Can an irrational number, raised to an irrational power, give a rational result?

See The Solution Submitted by Old Original Oskar!    
Rating: 2.7500 (4 votes)

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Solution My solution | Comment 4 of 19 |

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

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