Rationalize Denominator Calculator
Easily rationalize the denominator of fractions online. Simplify expressions with radicals in the denominator with this free calculator.
Rationalizing the denominator means eliminating any radicals (like square roots or cube roots) from the denominator of a fraction.
Use this tool to simplify fractions by removing square roots from the bottom part.
Rationalized Fraction:
Fraction Visualization
Original Fraction
Rationalized Form
Understanding Rationalizing the Denominator
Rationalizing the denominator is a technique used to eliminate radicals from the denominator of a fraction. This is often preferred in mathematics to present fractions in a simplified and standard form.
For fractions with a square root in the denominator, we multiply both the numerator and the denominator by the radical in the denominator. For example, to rationalize the denominator of 1⁄√2, we multiply both numerator and denominator by √2, resulting in √2⁄2.
This process makes the denominator a rational number, hence the term "rationalizing". It simplifies further calculations and makes expressions easier to work with.
Learn more about rationalizing denominators on Wikipedia.