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## Homework Statement

[tex]\sqrt[n]{Z}[/tex] has exactly n distinct value for integer n.

What can you say about non-integer n's ?

## Homework Equations

[tex]\sqrt[n]{Z}={|Z|}^{1/n}.(cos((\theta+2k\pi)/n)+isin((\theta+2k\pi)/n)[/tex]

## The Attempt at a Solution

I used Euler's formula to see clearly what the roots are if n is integer.

As it is told i find [tex]\sqrt[n]{Z}[/tex] has n roots.

But what if n is non-integer?

I've been told that if n is non-integer there will be infinite solution.

How could it be?