Let R be an integral domain in which 1R+1R #OR. Assume that the nonzero element b of R admits a square root r, i.e., an element r ER such that r² = b. Prove that b then admits exactly two square roots in R. (Hint: exhibit another square root, being sure to verify that it is in fact distinct from r, and then show that any square root must equal one of the two you have already identified.)

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