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siddhantsharan

  • 3 years ago

Can rational to the power irrational be rational?

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  1. LolWolf
    • 3 years ago
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    No, but I have no formal proof of it, if I can come up with one, I'll post it up.

  2. LolWolf
    • 3 years ago
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    (Other than the trivial case: \(1^a\), where \(a\in \mathbb{R}\))

  3. LolWolf
    • 3 years ago
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    (And 0)

  4. siddhantsharan
    • 3 years ago
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    Are you sure no?

  5. LolWolf
    • 3 years ago
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    I'm pretty sure, yes, but you can try proving it yourself, it doesn't look to be a simple, elementary proof.

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