👉 Unrationalizing is a mathematical technique used in elementary algebra and calculus to simplify expressions by expressing them as polynomials with rational coefficients. It is often used when dealing with complex or difficult-to-factor expressions that cannot be simplified directly, such as those involving square roots, cube roots, and trigonometric functions. In essence, unrationalizing involves replacing a variable expression with its equivalent polynomial form, typically in the form of a sum of simpler terms. This process can be useful for simplifying complicated