Pwese help~

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?

If the square of a positive integer is added to 2 times the integer the result is 48. find the integer.

40 points which is the equation of a line perpendicular to the line with the equation: y = 1/4x + 2 a : y = -4x - 7 b : y = 4x + 2 c : y = 1/4x - 1/2 d : y = -1/4x + 3