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Geometric Construction of the Square Roots of a Complex Number

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This Demonstration shows a geometric construction of the square roots
w
1
and
w
2
of a complex number
z
. The square roots lie on the angle bisector of the argument of
z
and on a circle through the origin of radius
z
, which is the geometric mean of
ON=1
and
z
. The complex number
z
can be selected using the locator.
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