﻿ Definition and examples rationalizing the denominator | define rationalizing the denominator - algebra - Free Math Dictionary Online

# Rationalizing the Denominator

## Definition of Rationalizing the Denominator

Rationalizing the denominator is the process by which a fraction containing radicals in the denominator is rewritten to have only rational numbers in the denominator.

### Examples of Rationalizing the Denominator

In the example above, the radical in the denominator is converted into a rational number by multiplying and dividing the fraction by using the fact that . This process is called 'rationalizing the denominator'.

Here in the denominator is converted into a rational number by multiplying and dividing the fraction by the conjugate using the fact that

### Solved Example on Rationalizing the Denominator

#### Solution:

Step 1: [Use quotient property.]
Step 2: [Use product property.]
Step 3: [ ]
Step 4: [ [Multiply by a value of
Step 5:

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