Dive into a comprehensive 25-minute video lesson on complex numbers, covering essential concepts from the imaginary unit i to advanced operations. Learn how to simplify square roots of negative numbers, solve equations with non-real complex solutions, and perform arithmetic operations with complex numbers. Master techniques for multiplying complex conjugates, dividing complex numbers, and simplifying powers of i. Explore the geometric representation of complex numbers on the Argand diagram and discover how to calculate their absolute values. Perfect for students and enthusiasts looking to strengthen their understanding of complex number theory and applications.