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Find the inverse of 1 + √2 in Z[√2]. What is the multiplicativeorder of 1 + √2?

Find the inverse of 1 + √2 in Z[√2]. What is the multiplicativeorder of 1 + √2?

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.6: Algebraic Extensions Of A Field
Problem 11E
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Find the inverse of 1 + √2 in Z[√2]. What is the multiplicative
order of 1 + √2?

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