3. 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]
3. 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]
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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