Dive into a comprehensive 54-minute lecture on solving radical equations and exploring the Pythagorean Theorem in intermediate algebra. Learn effective techniques for manipulating and simplifying expressions involving roots, and discover how to apply these skills to solve complex equations. Gain a deeper understanding of the Pythagorean Theorem and its practical applications in geometry and real-world problem-solving. Master the art of isolating radicals, squaring both sides of equations, and identifying extraneous solutions. Enhance your algebraic skills and problem-solving abilities through clear explanations and numerous examples provided by Professor Leonard.