Proofs for Sets: Expert Help and Tips for Math Homework

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Homework Statement



hopefully the writing is readable:
http://i.imgur.com/VJ8vN.jpg

All three if possible.

Homework Equations



none

The Attempt at a Solution



To be completely honest, I missed that whole week of lectures due to personal problems and I've had no chance to talk to an instructor or a classmate for some notes before this is due. I'm perfectly fine with just tiny tips here and there.

http://i.imgur.com/4AknY.jpg

My lame attempt at solving the first.
 
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what have I done?
 
I was able to figure out the first two I believe. But at the moment I seem to be stuck on the 3rd. Would it be alright if I was to list all the options a and b have in order for ab=4 and then write that we can see they all work?

This is for a Math 273 course.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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