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Math Help - composite of two field

  1. #1
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    composite of two field

    Prove that the composite of two field Q(2^(1/2)) and Q(2^(1/3)) is the field Q(2^(1/6))
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  2. #2
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    Quote Originally Posted by apple2009 View Post
    Prove that the composite of two field Q(2^(1/2)) and Q(2^(1/3)) is the field Q(2^(1/6))
    Show that Q(2^(1/6)) contains both Q(2^(1/2)) and Q(2^(1/3)).

    Then, show that any field containing 2^(1/2) and 2^(1/3) contains 2^(1/2) / 2^(1/3) = 2^(1/6).
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