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.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:51 AM

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It is a fact, which we can verify by cubing, that the zeros of x 3 -

Question:

a₁ = 32, -1+i√3 2 α/₂ = 3/2= and α3 = 32. ܚ . -1-i√3 2

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A First Course In Abstract Algebra

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