3. (a) Find a unit in Z[√2] which is not equal to 1 or -1. Hint: Use 1 (b). (b) (*) Show that Z[√2] has infinitely many units.
3. (a) Find a unit in Z[√2] which is not equal to 1 or -1. Hint: Use 1 (b). (b) (*) Show that Z[√2] has infinitely many units.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
Question
![3. (a) Find a unit in Z[√2] which is not equal to 1 or -1. Hint: Use 1 (b).
(b) (*) Show that Z[√2] has infinitely many units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd0a2eb85-71bc-41a8-8f67-a7e3c7209cc3%2F8ff6daf2-2f79-48f9-97d6-f165fdf263d0%2Fkm5nckmh_processed.png&w=3840&q=75)
Transcribed Image Text:3. (a) Find a unit in Z[√2] which is not equal to 1 or -1. Hint: Use 1 (b).
(b) (*) Show that Z[√2] has infinitely many units.
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