Approximate solution for square root of sum of squares

mrafiee
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Homework Statement



If X^2=Sqrt(x1^2+x2^2+x3^2+...)=> X?

and vice versa
If X=x1+x2+x3+...=> X^2?


Homework Equations





The Attempt at a Solution

 
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welcome to pf!

hi mrafiee! welcome to pf! :smile:

(try using the X2 and X2 buttons just above the Reply box :wink:)

hint: factor out the largest one (say, x2), and then it's x2(1 + something) :smile:
 

Thread 'Finding the nth roots of a complex number'

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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