Afarmer grows 196kg of carrots. he sells them to a grocer who divides them into 5kg and 2kg bags. if the grocer uses the same number of 2kg and 5kg bags, how many of each does he use? explain your thinking.

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?