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5. In this question you will prove that 3 is irrational. (a) Let n be an integer. Prove that if 3|n 2 then 3|n. Hint:

5. In this question you will prove that 3 is irrational.

(a) Let n be an integer. Prove that if 3|n 2 then 3|n. Hint: consider the contrapositive and consider cases.

(b) Following the proof that 2 is irrational, use the result you have just shown above to prove that 3 is also irrational.

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