Is root 2 to the power of root 2 irrational proof?
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A short proof of the irrationality of √2 can be obtained from the rational root theorem, that is, if p(x) is a monic polynomial with integer coefficients, then any rational root of p(x) is necessarily an integer. ... Because √2 is not an integer (2 is not a perfect square), √2 must therefore be irrational.
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