12.2 Problem Solving Help
Help for Exercises 41-52 on page 702
Exercises 41-46 involve rational expressions that contain a single radical term in the denominator. The examples below are similar.
Example 1 Simplify Solution:
Example 2 Simplify Solution:
Notice that in Example 1, the final result is . This result does not simplify to because the numerator contains a radical while the denominator does not.
In Exercises 47-52, you are given expressions in the denominator of the form . Refer to the Study Tips on page 699. Multiplying by an appropriate radical expression with a value of one will eliminate the radical in the denominator. In general, . After this step, if possible identify common factors between the numerator and denominator and simplify the resulting expression.