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2. Prove or disprove: a. if x5+12 is irrational then x is irrational. b. For any two irrational numbers x and y, their product xy

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2. Prove or disprove: a. if x5+12 is irrational then x is irrational. b. For any two irrational numbers x and y, their product xy is irrational. c. The product of an irrational number and a non-zero rational number is irrational

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