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Thread: Transcendental

  1. April 24th 2009, 10:23 AM #1
    Coda202
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    Transcendental

    Assuming the pi is transcendental over Q, prove that (pi)^2 is also transcendental over Q
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  2. April 24th 2009, 11:26 AM #2
    Opalg
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    Quote Originally Posted by Coda202 View Post
    Assuming the pi is transcendental over Q, prove that (pi)^2 is also transcendental over Q
    If \pi^2 was a root of the rational polynomial P(x), then \pi would be a root of P(x^2).
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