Jackie won tickets playing the bowling game at the local are casade the first time she wants six season tickets the second time she won a bonus which was four times the number of tickets of the original second prize all together she won 200 tickets how many tickets was the original second price?

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?