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siddhantsharan Group Title

Can rational to the power irrational be rational?

  • 2 years ago
  • 2 years ago

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

    • 2 years ago
  3. LolWolf Group Title
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    (And 0)

    • 2 years ago
  4. siddhantsharan Group Title
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    Are you sure no?

    • 2 years ago
  5. LolWolf Group Title
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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.

    • 2 years ago
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spraguer (Moderator)
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