SOLUTION: Show that the number(square root of 2 with exponent of square root of 2)with exponent of square root of 2 is a rational number even though it might look irrational. What familiar n

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Question 158024This question is from textbook Heart of Mathematics
: Show that the number(square root of 2 with exponent of square root of 2)with exponent of square root of 2 is a rational number even though it might look irrational. What familiar number does it equal? This question is from textbook Heart of Mathematics

Answer by jim_thompson5910(35256) About Me  (Show Source):
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So %28sqrt%282%29%5E%28sqrt%282%29%29%29%5E%28sqrt%282%29%29=2 where 2 is rational.