Answered: Verify that the following structures…

Verify that the following structures form a ring. (a) The set Z[ √ 2] of real numbers of the form m+n √ 2, where m, n are integers, with the usual addition and multiplication of real numbers.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.4: Zeros Of A Polynomial

Problem 3TFE

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Verify that the following structures form a ring.

(a) The set Z[ √ 2] of real numbers of the form m+n √ 2, where m, n are integers, with the usual addition and multiplication of real numbers.

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