Let AB be the directed line segment beginning at point A(3,2) and ending at point B(6,7). Find the point P on the line segment that partitions the line segment into the segments AP and PB at a ratio of 5:2.
A. (5 1/7, 5 4/7)
B. (7 1/5, 19 1/2)
C. (3 6/7, 3 3/7)
D. (8 1/7, 7 4/7)

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?