22. Consider the statement "For every real number r, if r² is irrational then r is irrational." a. Write what you would suppose and what you would need to show to prove this statement by...

Extracted text: 22. Consider the statement "For every real number r, if r² is irrational then r is irrational." a. Write what you would suppose and what you would need to show to prove this statement by contradiction. b. Write what you would suppose and what you would need to show to prove this statement by contraposition.