17. Before rock climbing, Michelle wants to know how high she will climb. She places a mirror on the

ground and walks backward until she can see the

top of the cliff in the mirror. She drew a sketch of

the situation. What is the height of the cliff?

Top of cliff

х

mirror

Michelle

5.5 ft

4 ft

16 ft

A. 16.5

B. 17.5

C. 20

D. 22

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?