Let R* be the group of nonzero real numbers under

Chapter 3, Problem 63E

(choose chapter or problem)

Let R* be the group of nonzero real numbers under multiplication and let H 5 {x ? R* | x2 is rational}. Prove that H is a subgroup of R*. Can the exponent 2 be replaced by any positive integer and still have H be a subgroup?

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