Geometric Construction of Square Roots of Negative Real Numbers

This GeoGebra example demonstrates how square roots of negative real numbers can be represented geometrically, showing the extension of square-root operations from real numbers to complex numbers. It involves key concepts such as negative square roots, complex-number representation, unit length, semicircle construction, intersections, similarity, and two-dimensional vectors. The construction uses Point, Semicircle, Intersect, Segment, and Line commands together with Unity and multiple text labels to create a visual path and annotations. It is suitable for high-school enrichment, introductory complex-number lessons, and mathematical experimentation.