Prove that x 2 - 3 is irreducible over Q( 3 2).

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Prove that x² - 3 is irreducible over Q(³√2).

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 01:44 AM

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Prove that x 2 - 3 is irreducible over Q( 3 2).

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If x 2 3 were reducible over Q 3 2 then it would factor into linear factors over Q 3 2 so 3 would li...View the full answer

A First Course In Abstract Algebra

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