Consider the Following Statement: for All Real Numbers R, If

question 22

Essay

Consider the following statement: For all real numbers r, if r3 is irrational then r is irrational.
(a) Prove the statement either by contradiction or by contraposition. Clearly indicate which method you are using.
(b) If you used proof by contradiction in part (a), write what you would "suppose" and what you would "show" to prove the statement by contraposition. If you used proof by contraposition in part (a), write what you would "suppose" and what you would "show" to prove the statement by contradiction.