Acarpenter has a board that is 8 feet long. he cuts off two pieces. one piece is 3 1/2 feet long and the other is 2 1/3 feet long. how much of the board is left?

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?