1.

simplify [( square root 2) raise to the power of square root 2] raise to the power of square root of 2

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Answer:

The SQUARE root of 2 is "irrational" (cannot be written as a fraction) ... because if it could be written as a fraction then we would have the ABSURD case that the fraction would have EVEN numbers at both top and BOTTOM and so could always be simplified.

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