Zoe needs to by beads to make jewelry. for each earring, zoe uses 3 small blue beads, 1 small metallic bead and 2 large green beads. what is the total number of beads zoe needs to but to make 8 pairs of earring? show your work and explain the work, how did you figure out the answer

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?