Complex number cube root

There are three cube roots of a complex number. These can be found by looking for the numbers that when cubed yield and. These... 

The Riemann surface for the cube root f(z) = z comprises three Riemann sheets, corresponding to three branches of the function. Analogously, any integer or rational power of z will have a finite number of branches. However, an irrational power such as f(z) = z = will not be periodic in any integer multiple of In and will hence require an infinite number of Riemaim sheets. The same is true of the complex logarithmic function... 

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