Five companies employed 2340 ,3455,675,960 and 1350 workers .The first two company laid off 1 worker for every 5 worker ,while the other three recruited 2 new workers for every 3

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?