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The applet below shows the complex cube roots of a complex number. DeMoivre's Theorem shows that there are always three cube roots, spaced evenly around a circle. The green segment indicates the given number w, and the red segments indicate the three cube roots z0, z1, and z2, as given by the following formula:

In the applet below, the three complex cube roots will be displayed as you drag the point w around with your mouse.
Move on to look at complex 4th roots or go back to look at square roots.