Hank spent $635.71 on groceries. Peggy spent $293.96 on groceries. They decide to split the entire grocery bill, which is $929.67. How much does Peggy still owe Hank if they split the grocery bills equally?

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?