Tina had 20 minutes to do a three-problem quiz. She spent 9 3/4 minutes on question A and 5 1/2 minutes on question B. How much time did she have left for question C

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?