Solving Radical Equations and Inequalities - Lecture 4.4

Learn to solve radical equations and inequalities in this comprehensive mathematics lecture and problem-solving session. Master techniques for isolating variables within radicals by applying operations like squaring or cubing both sides of equations. Understand the concept of extraneous solutions and why they occur when solving radical equations, including graphical explanations of how function transformations can create false solutions. Explore methods for solving rational exponential equations by using reciprocal exponents to eliminate radicals. Practice solving radical inequalities while considering domain restrictions, such as non-negative requirements for even-root radicals. Work through over 60 practice problems with detailed explanations, from basic radical equation solving to more complex applications involving inequalities and rational exponents. Access downloadable textbook materials and follow along with timestamped sections for easy navigation through specific problem types and concepts.