Geometric Construction of the Square Roots of a Complex Number

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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.

Contributed by: Izidor Hafner (September 2017)
Open content licensed under CC BY-NC-SA


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Reference

[1] D. Kurepa, Higher Algebra, Book 1 (in Croatian), Zagreb: Skolska knjiga, 1965 p. 108.



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