Find sum of all odd square numbers

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    Square Sum
chwala
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Homework Statement
see attached
Relevant Equations
sum of series.
There is a mistake on this textbook (The mistake is pretty obvious) but hey I hope I did not miss something...

ought to be ##40425 - 19600##

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chwala said:
ought to be 40425
Agreed.
 
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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