Help with these two math questions thank u :)

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?

If u good at math hit me up on insta or sum @basic_jaiden or @ and

What is the length and width of a 84.5 square foot rug? will mark