Pls help!! I can’t figure out how to do thisss

How do the definitions, properties, and postulates you've learned about line segments, parallel lines, and angles to define the shapes of polygons

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?

Agallon of apple juice cost $7 a pack of eight 4.23oz box of apple juice $2.39 which is a better deal