Question: 1. Consider the set Jn = {x R* :x Q}. Let multiplication in J, be multiplication in RX. (a) (8 points) Prove that Jn

1. Consider the set Jn = {x R* :x Q}. Let multiplication

1. Consider the set Jn = {x R* :x Q}. Let multiplication in J, be multiplication in RX. (a) (8 points) Prove that Jn R for all n Z+. (b) (2 points) Show that QX < J < R. Hint: 2 is irrational.

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