The following problem was suggested by John Haverhals. Many thanks.

You may recall that a real number is called rational if it can be written as a fraction with integers in both the numerator and denominator, otherwise it's called irrational . There are many irrational real numbers; for example, if n is any positive integer which is not a perfect square, then is irrational. Find two irrational numbers, a and b, so that a^b is an integer.

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