How to Rationalize the Denominator with Radicals and Conjugates

The Organic Chemistry Tutor

This comprehensive mathematics tutorial provides a step-by-step guide on how to rationalize denominators containing various types of radicals. The video begins with the fundamental concept of eliminating square roots from the denominator by multiplying by the root itself. It progressively advances to more complex scenarios, including fractions with variables, cube roots, and higher-order roots (4th and 7th roots). For these higher indexes, the narrator explains the critical rule of multiplying by a radical where the exponents sum up to the index number to create a perfect power that eliminates the root.