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Thread: Prove that (√2)^(√2) is irrational (assuming that √2 is irrational).

  1. February 23rd 2010, 01:07 PM #1
    feyomi
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    Prove that (√2)^(√2) is irrational (assuming that √2 is irrational).

    Prove that (√2)^(√2) is irrational (assuming that √2 is irrational).
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  2. February 23rd 2010, 05:54 PM #2
    mr fantastic
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    Quote Originally Posted by feyomi View Post
    Prove that (√2)^(√2) is irrational (assuming that √2 is irrational).
    Read this: Gelfond's Theorem -- from Wolfram MathWorld
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