7b)++Radical+simplification+and+evaluation

]In this section, you will learn how to simplify radicals. In order to do this, you should be familiar with basic powers of the numbers 1-10. It is necessary to know these in order to know what you need to take out of the radical. You need to take into account the index (the little number on the outside of the and make sure that there are no perfect roots hiding in there. For example if you are taking the square root, your final answer shouldn't have any perfect squares left inside of the radical. You will also learn how to evaluate radicals. To add and subtract radicals, they need to have the same base and index. To multiply or divide, they only need to have the same index. For this, you should be familiar with square roots, cubed roots, etc. When you rationalize a denominator, you are making sure that there are not radicals left in the denominator. Once you get the hang of it, simplifying and evaluating radicals are easy to do because they are both pretty much the same process.

Example 1:

Example 2:

Example 3: Example 4:

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Simplifying Radicals http://www.wtamu.edu/academic/anns/mps/math/mathlab/int_algebra/int_alg_tut39_simrad.htm
 * Websites**:

Evaluating Radicals http://www.cliffsnotes.com/WileyCDA/CliffsReviewTopic/Solving-Radical-Equations.topicArticleId-38949,articleId-38937.html