one example of greek philosophy's influence on the world is

a.
aristotle’s teaching of alexander the great

b.
the conflict between athens and sparta

c.
the opening of schools for women and slaves

d.
philosophers’ discovery of ancient ruins

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?