Question: 4. Let G = {a+b2: a,b Q}. a) Prove that G is a group under addition. b) Prove that the nonzero elements of G

4. Let G = {a+b2: a,b Q}. a) Prove that G is a group under addition. b) Prove that the nonzero elements of G are a group under multiplication ["Rationalize the denom- inators" to find the inverses].

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a Let G ab2 a b Q We need to show that G is a group under addition Closure For any two elements ab2 ... View full answer

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