Question: 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

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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4. Explain the strengths and weaknesses of each approach.

d. Describe any challenges in trying to communicate. If there were no challenges, explain why you think it was so easy.

3. Identify the methods used within each of the three approaches.