Sum of nth Roots of Unity

This example demonstrates the geometric distribution of nth roots of unity in the complex plane and their sum being zero, offering an intuitive understanding of complex numbers, unit roots, vectors, and geometric symmetry. Key GeoGebra commands used include ComplexRoot for calculating roots, Circle for drawing the unit circle, and objects like n, f, z_1 to z_5, c, text1, text2 for dynamic visualization. It is suitable for high school and above students to explore the connection between complex operations and geometric representations, enhancing comprehension of polynomial root properties.