Real component: z^(1/2)

This example demonstrates the real part of the square root of a complex number z^(1/2) in the complex plane. It involves core mathematical concepts like complex numbers, square root operations, and complex plane projections. The construction utilizes GeoGebra commands and objects such as SelectedIndex, Plane, Surface, button1, t, Re1, Re2, c, text1, a, b, ListBranches, index, d, planeC, text2, RSRe, RSReN. Suitable for high school and above mathematics learners to understand complex number operations and graphical representations.