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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Originally Posted by apple2009 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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