CALCULATE WITH CONFIDENCE

Fractions & Decimals

Rationalize Denominator Calculator

Remove and simplify one square root from a denominator of the form p/√q.

Fractions & Decimals

Enter values

Private calculation in your browser

Use the notation shown in each label and example. Inputs stay on this device and are never sent to a calculation service.

Result

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Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Enter values using the notation shown beside each field.
  2. Choose a calculation mode when the tool offers more than one interpretation.
  3. Read the primary answer first, then inspect the supporting details.

Calculation method

Apply the stated definition

p/√q = p√q/q

The calculator validates the mathematical domain before returning a result and does not replace undefined states with zero.

Worked example

Worked example

3/√5 = 3√5/5.

p/√q = p√q/q

Supported inputs

Precision and limits

Finite, bounded input

Integers, finite decimals, fractions, and mixed numbers are evaluated with exact rational arithmetic wherever the operation permits.

Notation

Enter fractions as a/b and mixed numbers as w n/d. A denominator can never be zero.

Calculator-specific rule

Perfect-square radicands are handled exactly at the general integer limit. To guarantee complete square-factor extraction for a nonsquare radicand, q must be no greater than 1,000,000,000,000.