 Radical expressions that contain the sum and difference of the same two terms are called conjugates.

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Presentation transcript:

 Radical expressions that contain the sum and difference of the same two terms are called conjugates.

 Conjugates are used to rationalize denominators, because the product of conjugates do not contain any radicals.

FOILing Simplifying Notice how multiplying conjugates gets rid of the radicals.

 If you are given a rational number where the denominator contains a radical, simply multiply the numerator and denominator by the conjugate of the denominator in order to rationalize the denominator.

Rationalize the denominator of the expression:

By definition

Simplifying, Solution