Alexander's football team scored 34 points in their last game. They scored 14 points during the first quarter, 3 points in the second quarter and 7 points in the third quarter. How many points did they score in the fourth quarter?​

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?