Proving the Projection Equation

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Homework Statement


How would I prove this projection? I attached the equation.


Homework Equations


See attached equation.


The Attempt at a Solution


I tried using the formula with numbers but I didn't get to prove the equation. Any help would greatly appreciated.
Thanks
 

Attachments

  • projaontob.gif
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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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