Drag the tiles to the correct boxes to complete the pairs. match with the sum of the monomial and binomial. 2x2y + (x2y − 2xy2) (5xy2 − x2y) + 3x2y 4x2y + (x2y + xy2) x2y + (-2xy2 − 4x2y) 5xy2 + 2x2y arrowright -3x2y − 2xy2 arrowright 3x2y − 2xy2 arrowright 5x2y + xy2 arrowright

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?