Alexis has a bag of starbursts. After giving half of the candy to her best friend, she ate 6 starbursts. Now, she only has 10 starbursts left. How many starbursts did Alexis start with?

1- 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.2- 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 the first question?