Question: Suppose that Q(i) = {a + bi : a, b Q} and let H = Q(i) {0}. Prove that H is a subgroup of

Suppose that Q(i) = {a + bi : a, b Q} and let H = Q(i) \ {0}. Prove that H is a subgroup of C , where C is the group of non-zero complex numbers under multiplication.

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