SOLUTION: A. Give an example in which the result of raising a rational number to a rational power is an irrational number. B. Give an example in which the result of raising an irration

Algebra ->  Real-numbers -> SOLUTION: A. Give an example in which the result of raising a rational number to a rational power is an irrational number. B. Give an example in which the result of raising an irration      Log On


   



Question 1207827: A. Give an example in which the result of raising a rational number to a rational power is an irrational number.

B. Give an example in which the result of raising an irrational number to a rational power is a rational number.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
2 is a rational number, 1%2F2 is also a rational number.
But sqrt%282%29 is irrational.


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sqrt%282%29 is an irational number, 2 is a rational number.
But %28sqrt%282%29%29%5E2=2 is rational.

Edwin