Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.1: Rectangular Coordinate Systems
Problem 21E
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![Exercise 8.1.
(1) Show that Z√−2] := {a + b√√−2 | a, b € Z} is a subring of C.
(2) Find a subring R of C so that Z[√−2] ≤ R ≤ C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2e948f6-fd6f-485f-942e-c931230f8579%2F3cf29ad6-40ed-4a7e-b010-d114cb600bea%2F4epo3ne_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Exercise 8.1.
(1) Show that Z√−2] := {a + b√√−2 | a, b € Z} is a subring of C.
(2) Find a subring R of C so that Z[√−2] ≤ R ≤ C.
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