PLease help me with this question

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?

How do i simply this expression (quadratic formula basis) on a ti-84 or normal calculator?

The area of the map is the product of the length and width. write and expression for the area as the product of the two binomials do not multiply