Maxwell's Equations and Divergence

Tan Thom
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Homework Statement


I was working on a problem from Maxwell Equations. Why is the below zero?

upload_2019-3-15_17-51-30.png


Homework Equations

The Attempt at a Solution

 

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Hello Thom, :welcome:

Did you notice the bold 2 and particularly the bold 3 in the template ? We at PF are simply not allowed to help unless you show your own attempt at solution.
 
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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