How to properly solve question 2,4,5?

Richardbryant
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1. Homework Statement

Guys I am struggling with question 2,4,5
I had upload the question and my attempt.
I had been re doing for several times with same answer not match with the model answer, please show me the correct way of solving it

Homework Equations

The Attempt at a Solution

 

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Sorry for forgetting to upload my attempt of question 5
 
Post readable right-side-up images and perhaps someone will respond.
 
LCKurtz said:
Post readable right-side-up images and perhaps someone will respond.

Even then, many helpers will not respond. Your best policy (and the PF standard!) is to type out the problem and type out the solution, reserving images for diagrams and the like. It requires a bit of extra effort from you, but that is compensation for the effort you ask from helpers.
 
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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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