All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution My solution | Comment 4 of 20 |

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

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information