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Rational, irrational (1)Prove or disprove that if x y is an irrational number, then x and y are also irrational numbers. (2) Prove that if

Rational, irrational

(1)Prove or disprove that if x y is an irrational number, then x and y are also irrational numbers.

(2) Prove that if x 2 is irrational, then x is irrational. (HINT: try a proof by contrapositive)

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