Roots of Complex Numbers

Roots of complex numbers is part of the Complex numbers topic in NSW Year 12 Mathematics Extension 2 (NESA outcome ME2-12-03). This subtopic determines the \(n\)th roots of \(\pm 1\) in polar form and their location on the unit circle, and finds the \(n\)th roots of any complex number and their location on the complex plane.

Students and teachers will cover how to illustrate the geometric relationship connecting the \(n\)th roots of unity, which are equally spaced around a circle, and how to solve problems and prove results using the \(n\)th roots of complex numbers — an elegant blend of algebra and geometry in the HSC Extension 2 course.