Algebra II: Simplifying square roots and radicals
 This is a free lesson from our course in Algebra II In this part of the lesson you'll learn how to simplify square roots or radicals. It is explained with the help of video and audio presentation in own hand writing by the instructor using some examples. Square root of a positive number x is a number such that when it is squared, the number x results. Every positive number has two square roots, one positive and one negative. They are opposites of each other. The word radical is used for the expressions involving roots. A square root radical multiplied by itself produces the radicand. E.g. 25 = 5. The mark is known as the radical sign and the number under the radical sign is called radicand i.e. 25 in this example. (More text below video...)
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(Continued from above) The simplest form of a square-root radical is one in which the radicand is an integer that has no perfect-square factor other than 1. If the radicand is a fraction, change it to an equivalent fraction that has a denominator that is a perfect square. If the radical has the coefficient (# in front of the radical), simplify the radical and multiply outside number at the end. For example, the simplest form of 3 125 is given by 15 5.
Note: By default the radical sign ' ' means square root.