Anewly discovered planet orbits a distant star with the same mass as the sun at an average distance of 128 million kilometers. its orbital eccentricity is 0.3. find the planet's orbital period in months

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?