Simplifying Imaginary Roots: Visualization of Complex Number Operations

This GeoGebra applet demonstrates the simplification process of imaginary roots and their geometric interpretation in the complex plane. Key mathematical concepts include complex number arithmetic, powers of the imaginary unit i, and algebraic expression reduction. The construction utilizes the Polygon command to build shapes, sliders to control variables a, b, c, d, and n, and Expression objects to dynamically display calculation steps. It is designed for high school or college students to visually understand complex number properties and techniques for simplifying imaginary roots.