1. It costs $2 per square foot to refinish a hardwood floor if the area is less than
300 square feet, and $1.75 per square foot if
the area is greater than or equal to
300 square feet. How much does it cost
to refinish a rectangular floor that is 6 yards
long and 4.5 yards wide? Explain your
reasoning

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?