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Problem (3): Indirect proofs (30 pts) (a) Prove, via contraposition, that if a2 is a multiple of 3, then so is a. (b) Adapt the
Problem (3): Indirect proofs (30 pts) (a) Prove, via contraposition, that if a2 is a multiple of 3, then so is a.
(b) Adapt the Euclidean proof that 2 is an irrational to prove that 3 is irrational.
You will need the result of part (a) to complete the proof.
Problem (3): Indirect proofs (30 pts) (a) Prove, via contraposition, that if a2 is a multiple of 3, then so is a. (b) Adapt the Euclidean proof that 2 is an irrational to prove that V3 is irrational. You will need the result of part (a) to complete the proof
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