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The applet below shows the complex 4th roots of a complex number. DeMoivre's Theorem shows that there are always four 4th roots, spaced evenly around a circle. The green segment indicates the given number w, and the red segments indicate the four 4th roots z0, z1, z2, and z3, as given by the following formula:
In the applet below, the four complex 4th roots will be displayed as you drag the point w around with your mouse.
Move on to look at complex 5th roots or go back to look at cube roots.
