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

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

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

6.  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.

7. Rationalize the denominator of the expression:

8. By definition

9. Simplifying, Solution