A 13-ft padder leans against the side of a housem the bottom of the ladder is 10 ft from the side of the house. How high is the top of the ladder if neccessary round to your nearest tenth

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?