The Roots of a Complex Number

Find the kth roots of the red complex number.[br]Change the red complex number by dragging it around or by using the input boxes.[br]Change k by dragging the slider.[br][br]See how the roots move onto the red complex number by clicking the start button.[br]Draw their paths by clicking the trace button.[br][br]Questions to get you started:[br][list][*]What are the 2nd roots of 4 + 0i? (Draw their paths.)[/*][*]What are the 4th roots of 4 + 0i?[/*][*]What are the 2nd roots of -1 + 0i?[/*][/list]

Information: The Roots of a Complex Number