It is a fact, which we can verify by cubing, that the zeros of x 3 -
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It is a fact, which we can verify by cubing, that the zeros of x3 - 2 in Q are
where 3√2, as usual, is the real cube root of 2.
Describe all extensions of the identity map of Q to an isomorphism mapping Q(3√2) onto a subfield of Q̅.
Transcribed Image Text:
a₁ = 32, -1+i√3 2 α/₂ = 3/2= and α3 = 32. ܚ . -1-i√3 2
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