Answered: Show that Z[2√-6] is not a unique…

Show that Z[2√-6] is not a unique factorization domain. (Hint:Factor 10 in two ways.) Why does this show that Z[2√-6] is not aprincipal ideal domain?

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

ChapterP: Prerequisites

SectionP.6: Factoring

Problem 6E

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Question

Show that Z[2√-6] is not a unique factorization domain. (Hint:
Factor 10 in two ways.) Why does this show that Z[2√-6] is not a
principal ideal domain?

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