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 irrational number is? If the rational number were 0, would it give us the same result we found in part B?
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