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Rationalizing a Denominator

Method

Rationalizing a Denominator

When a fraction has an irrational number as its denominator, it's convenient to rationalize it. This example number can be rationalized by eliminating the radical from the denominator and simplifying the fraction.

1

Expand the fraction with the denominator

To get rid of the radical in the denominator, the numerator and the denominator are multiplied by that radical.

2

Simplify the fraction
The fraction can now be simplified.
The fraction has now been rationalized because the denominator is a rational number.