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Post Closed as "Not suitable for this site" by Emil Jeřábek, Andrej Bauer, Gerald Edgar, Ian Agol, Stefan Kohl♦

occurred Feb 6, 2014 at 17:44

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edited Feb 6, 2014 at 17:32

user9072

nt.number-theory irrational-numbers

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asked Feb 6, 2014 at 17:23

SixWingedSeraph

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If $a$ is irrational, must $a^a$ be irrational?

It is known that $\sqrt{2}^{\sqrt{2}}$ is irrational. Is it true that for any irrational number $a$, $a^a$ must be irrational?

irrational-numbers