Complex Roots

Use the numbered buttons to select an integer n betweeen \(2\) and \(9\).

Select a complex number \(z\), marked by a cyan diamond and radius vector, by dragging the cursor or by grabbing the [angle] or [modulus] slider. The n \(n^{th}\) roots are displayed in yellow, with green radial vectors. The unit circle is displayed in gray, and the circle through the \(n^{th}\) roots is displayed in blue.

Use the [zoom] key to adjust the size of the graphing window.

To the right, the number \(z\) is read out. Below that, use the buttons to display a representation of the modulus of \(z\) and of its roots, or of the angle of \(z\) and of its principal root, or of the values of the n \(n^{th}\) roots, or none of these.