Sandy is working with a carpenter to frame a house. they are using 8-foot-long boards, but each board must be cut to be 7 feet, 10 three fourths inches long. how much is cut off each board?

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?