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The applet below shows the complex square roots of a complex number. DeMoivre's Theorem shows that there are always two square roots, spaced 180 degrees apart. The green segment indicates the given number w, and the red segments indicate the two square roots z0 and z1, as given by the following formula:
In the applet below, the two complex square roots will be displayed as you drag the point w around with your mouse.
Move on to look at complex cube roots.
