Rationalizing the Denominator
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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
Video Examples: Rationalize the Denominator
Solved Example on Rationalizing the Denominator
Ques: Simplify by rationalizing the denominator.
Choices:
Correct Answer: B
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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