A MOVIE THEATRE HAS TWO ROOMS. ROOM A HAS 9 ROWS WITH 18 SEATS IN EACH ROW. ROW B HAS THREE TIMES AS MANY SEATS AS ROOM A. HOW MANY SEATS ARE THERE IS BOTH ROOMS?

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?