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# About: Roots, Radicals, and Square Root Equations: Division of Square Root Expressions

Module by: Wade Ellis, Denny Burzynski. E-mail the authors

 Name: Roots, Radicals, and Square Root Equations: Division of Square Root Expressions ID: m21968 Language: English (en) Summary: 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 simplification 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. Objectives of this module: be able to use the division property of square roots, the method of rationalizing the denominator, and conjugates to divide square roots. Subject: Mathematics and Statistics Keywords: algebra, conjugates, division, elementary, square roots License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.4 (history) First publication date: Mar 13, 2009 9:46 am -0500 Last revision to module: Jun 1, 2009 11:43 am -0500

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## Version History

 Version: 1.4 Jun 1, 2009 11:43 am -0500 by Changes: `Removed link from summary.` Version: 1.3 May 27, 2009 5:11 am -0500 by Changes: `Final Publish.` Version: 1.2 Apr 28, 2009 4:24 am -0500 by Changes: `Dynamic Links added` Version: 1.1 Apr 16, 2009 7:14 am -0500 by Changes: `First Publish.`

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## How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

### American Chemical Society (ACS) Style Guide:

Ellis, W.; Burzynski, D. Roots, Radicals, and Square Root Equations: Division of Square Root Expressions, Connexions Web site. http://cnx.org/content/m21968/1.4/, Jun 1, 2009.

### American Medical Assocation (AMA) Manual of Style:

Ellis W, Burzynski D. Roots, Radicals, and Square Root Equations: Division of Square Root Expressions [Connexions Web site]. June 1, 2009. Available at: http://cnx.org/content/m21968/1.4/.

### American Psychological Assocation (APA) Publication Manual:

Ellis, W., & Burzynski, D. (2009, June 1). Roots, Radicals, and Square Root Equations: Division of Square Root Expressions. Retrieved from the Connexions Web site: http://cnx.org/content/m21968/1.4/

### Chicago Manual of Style (Bibliography):

Ellis, Wade, and Denny Burzynski. "Roots, Radicals, and Square Root Equations: Division of Square Root Expressions." Connexions. June 1, 2009. http://cnx.org/content/m21968/1.4/.

### Chicago Manual of Style (Note):

Wade Ellis and Denny Burzynski, "Roots, Radicals, and Square Root Equations: Division of Square Root Expressions," Connexions, June 1, 2009, http://cnx.org/content/m21968/1.4/.

### Chicago Manual of Style (Reference, in Author-Date style):

Ellis, W., & Burzynski, D. 2009. Roots, Radicals, and Square Root Equations: Division of Square Root Expressions. Connexions, June 1, 2009. http://cnx.org/content/m21968/1.4/.

### Modern Languages Association (MLA) Style Manual:

Ellis, Wade, and Denny Burzynski. Roots, Radicals, and Square Root Equations: Division of Square Root Expressions. Connexions. 1 June 2009 <http://cnx.org/content/m21968/1.4/>.