Jack plays on a basketball team after school every third day of the month. he babysits his younger brother after school every seventh day of the month. how many times during a 30 day mark if any will jack have a conflict between basketball and babysitting? explain

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?