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Prove that 7 is irreducible in Z[√ 6], even though N(7) is not prime.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers

Problem 21E

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Prove that 7 is irreducible in Z[√ 6], even though N(7) is not prime.

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