1.3.3 Subgroups 1. Prove that G = {a + b√2: a, b € Q and a and b are not both zero}is a subgroup of R* under the group operation of multiplication.

Given thatWe have to prove that G is a subgroup of under the group operation of multiplication.We…

Answered: 1. Prove that G = {a + b√2: a, b € Q…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.3: De Moivre’s Theorem And Roots Of Complex Numbers

Problem 19E

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1. Prove that G = {a + b√2: a, b € Q and a and b are not both zero} E is a subgroup of R* under the group operation of multiplication.