# Geometric Construction of the Square Roots of a Complex Number

Geometric Construction of the Square Roots of a Complex Number

This Demonstration shows a geometric construction of the square roots and of a complex number . The square roots lie on the angle bisector of the argument of and on a circle through the origin of radius , which is the geometric mean of and . The complex number can be selected using the locator.

w

1

w

2

z

z

z

ON=1

z

z