Help with this please .Prove that G = {a + b√2: a, b € Q and a and b are not both zero} is a subgroup of R* under thegroup operation of multiplication. [#41, 3.5]

Given- G=a+b2: a,b∈ℚ and a and b are not both zero To prove- G is a subgroup of ℝ* under the group…

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

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 10E

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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. [#41, 3.5]