3/11 and 2/7 common denominator

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?

When 142 is added to a number the result is 64 more times the number my options are 35 37 39 41

Do you mind if you guys me with this question i’m on number 8