Gum drops galore candy store Sydney and her sister each fill a bag with gum drops Sinead bag of black gum drops way 1/8 of a pound Sydney pays for both her gum drops and her sisters red gum drops in all Sydney by 3/4 of a pound of gum drops she wants to know how much her sisters red gum drops weight

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?