Simplifying square roots and radicals - Watch video (Algebra II)

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...)

Other useful lessons:

Addition and Subtraction of square roots and radicals

Multiplication of square roots and radicals

Dividing square roots and radicals

Solving radical equations

(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.

Winpossible's online math courses and tutorials have gained rapidly popularity since their launch in 2008. Over 100,000 students have benefited from Winpossible's courses... these courses in conjunction with free unlimited homework help serve as a very effective math-tutor for our students.

-	All of the Winpossible math tutorials have been designed by top-notch instructors and offer a comprehensive and rigorous math review of that topic.
-	We guarantee that any student who studies with Winpossible, will get a firm grasp of the associated problem-solving techniques. Each course has our instructors providing step-by-step solutions to a wide variety of problems, completely demystifying the problem-solving process!
-	Winpossible courses have been used by students for help with homework and by homeschoolers.
-	Several teachers use Winpossible courses at schools as a supplement for in-class instruction. They also use our course structure to develop course worksheets.