. Let R= Z[V-5). (a) Find all units of R. (b) Is 1+ V-5 irreducible in R? (c) Is 2 a prime in R? %3D

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 41EQ
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18.1.21. Let R= Z[V-5].
(a) Find all units of R.
(b) Is 1+ V-5 irreducible in R?
(c) Is 2 a prime in R?
Transcribed Image Text:18.1.21. Let R= Z[V-5]. (a) Find all units of R. (b) Is 1+ V-5 irreducible in R? (c) Is 2 a prime in R?
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