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Use the field norm to show: a) 1 + √2 is a unit in Z[√2] b) −1+√√-3 -1+√√-3 2 is a unit in Z [ 1+ √−3 ] 2

Use the field norm to show: a) 1 + √2 is a unit in Z[√2] b) −1+√√-3 -1+√√-3 2 is a unit in Z [ 1+ √−3 ] 2

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the field norm to show: a) 1+√√2 is a unit in Z[√2] b) −1+√-3 1+√ is a unit in Z [ 1+ √−3 ] 2
Transcribed Image Text:Use the field norm to show: a) 1+√√2 is a unit in Z[√2] b) −1+√-3 1+√ is a unit in Z [ 1+ √−3 ] 2
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