SOLUTION: is the set of irrational numbers closed under exponentation?

Algebra.Com
Question 154445: is the set of irrational numbers closed under exponentation?
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
No it is not. Here is a counterexample: . Since 3 is rational, this shows that the set of irrational numbers is not closed under exponentiation.
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