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OpenStax-CNX module: m22797 1 Roots, Radicals, and Square Root ∗ Equations: Objectives Denny Burzynski Wade Ellis This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution License 3.0† Abstract This module is from Elementary Algebra by Denny Burzynski and Wade Ellis, Jr. The distinction between the principal square root of the number x and the secondary square root of the number x is made by explanation and by example. The simplication of the radical expressions that both involve and do not involve fractions is shown in many detailed examples; this is followed by an explanation of how and why radicals are eliminated from the denominator of a radical expression. Real-life applications of radical equations have been included, such as problems involving daily output, daily sales, electronic resonance frequency, and kinetic energy. This module contains the objectives for the chapter "Roots, Radicals, and Square Root Equations". After completing this chapter, you should Square Root Expressions () • • • understand the concept of square root be able to distinguish between the principal and secondary square roots of a number be able to relate square roots and meaningful expressions and to simplify a square root expression Simplifying Square Root Expressions () • • • be able to identify a perfect square be familiar with the product and quotient properties of square roots be able to simplify square roots involving and not involving fractions Multiplication of Square Root Expressions () • be able to use the product property of square roots to multiply square roots Division of Square Root Expressions () • be able to use the division property of square roots, the method of rationalizing the denominator, and conjugates to divide square roots Addition and Subtraction of Square Root Expressions () ∗ † Version 1.5: Jun 1, 2009 11:42 am +0000 http://creativecommons.org/licenses/by/3.0/ http://cnx.org/content/m22797/1.5/ OpenStax-CNX module: m22797 • • understand the process used in adding and subtracting square roots be able to add and subtract square roote Square Root Equations with Applications () • • be able to recognize square root equations and extraneous solutions be able to solve square root equations http://cnx.org/content/m22797/1.5/ 2
