Understanding Fraction Splitting: Uncovering Rules and Techniques

authgeek
Messages
7
Reaction score
0
I'm looking at this particular splitting of a fraction in a book and I'm not completely sure what rule is being invoked. Here it is:

http://www.apthtml.com/images/split.png

Can anyone identify what this is?
 
Last edited by a moderator:
Physics news on Phys.org
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...
Back
Top