# Rationalize the Denominator

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A series of free, online Basic Algebra Lessons.
Videos, solutions, worksheets, and activities to help Algebra students.

In this lesson we will learn

• how to rationalize the denominator
• how to rationalize the denominator using conjugates

Rationalizing the Denominator
If a fraction contains radicals in the denominator then we need to "rationalize" the fraction. This means to perform some operations to remove the radicals from the denominator. If the denominator has a sum or difference of two different radicands, we need to multiply the numerator and denominator by a conjugate to remove the radicals.
Rationalizing the Denominator Part 1 of 7

Rationalizing the Denominator Part 2 of 7
Rationalizing the Denominator Part 3 of 7

Rationalizing the Denominator using conjugates
When the denominator has two terms, we need to multiply the numerator and denominator by a conjugate to remove the radicals.
Rationalizing the Denominator Part 4 of 7
Rationalizing the Denominator Part 5 of 7

Rationalizing the Denominator Part 6 of 7
Rationalizing the Denominator Part 7 of 7

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