Question: Consider the statement For every real number r , if r^ 2 is irrational then r is irrational. Write what you would suppose and what

Consider the statement "For every real number r, if r^2 is irrational then r is irrational."

  1. Write what you would suppose and what you would need to show to prove this statement by contradiction.
  2. Write what you would suppose and what you would need to show to prove this statement by contraposition.

Use the contraposition and contradiction methods to construct proofs. Write down the initial supposition, goal, deductions, and conclusion properly.

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