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

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Question 154445: is the set of irrational numbers closed under exponentation?
Answer by jim_thompson5910(21682) About Me  (Show Source):
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No it is not. Here is a counterexample: %28sqrt%283%29%29%5E2=3. Since 3 is rational, this shows that the set of irrational numbers is not closed under exponentiation.