Copyright

Ch 13: CEOE Advanced Math: Roots & Radical Expressions

About This Chapter

Learn about roots and radical expressions in this chapter of the CEOE Advanced Mathematics exam study guide. Video lesson and self-assessment quizzes teach you all you need to know about roots and radical expressions for teacher licensure in Oklahoma.

CEOE Advanced Math: Roots & Radical Expressions - Chapter Summary

Lessons in this chapter explore roots and radical expressions, including simplifying expressions containing square roots, radicands and radical expressions, and evaluating square roots of perfect squares. Also covered are factoring radical expressions, simplifying square roots of powers in radical expressions, and multiplying them simplifying radical expressions. Additionally, by the end of this chapter, you should be familiar with:

  • Dividing radical expressions
  • Simplify square roots of quotients
  • Rationalizing denominators in radical expressions
  • Addition and subtraction using radical notation
  • Multiplying radical expressions with two or more terms
  • Solving radical equations

Short, engaging video lessons make the material fun and interesting. Self-assessment quizzes can be used to test your knowledge, or print them as worksheets to help you study. The jump feature under the Timeline tab allows you to skip directly to main subjects in each video.

Roots & Radical Expressions - Chapter Objectives

The CEOE Advanced Mathematics exam measures a student's knowledge of subject matter in accordance with Oklahoma educator licensure regulations. The exam measures mathematical processes and number sense; relations functions, and algebra; measurement and geometry; trigonometry and calculus; and probability, statistics, and discrete mathematics. The material covered in this Roots and Radical Expressions chapter is tested in the relations, functions and algebra portion of the CEOE exam, which comprises about 12% of the entire test. The exam includes approximately 80 multiple-choice questions and one open-response question.

14 Lessons in Chapter 13: CEOE Advanced Math: Roots & Radical Expressions
Test your knowledge with a 30-question chapter practice test
Simplifying Expressions Containing Square Roots

1. Simplifying Expressions Containing Square Roots

In order to write radical expressions correctly, they have to be written in their simplest form. This lesson will show you how to simplify expressions containing numbers and variables inside a square root.

Radicands and Radical Expressions

2. Radicands and Radical Expressions

It's easy to see that funky radical symbol and panic just a little bit. There are so many rules that go along with it, it's hard to keep up with them all. This lesson will help by describing what you should do when you are faced with a square root.

Evaluating Square Roots of Perfect Squares

3. Evaluating Square Roots of Perfect Squares

Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.

Factoring Radical Expressions

4. Factoring Radical Expressions

Watch this video lesson to learn how to apply the product rule to your radical expressions. Learn how this product rule actually helps you to simplify your radicals as well.

Simplifying Square Roots of Powers in Radical Expressions

5. Simplifying Square Roots of Powers in Radical Expressions

Simplifying radical expressions that contain powers can be tricky. There are a few simple rules that will help you perform these simplifications with ease. This lesson will teach you how.

Multiplying then Simplifying Radical Expressions

6. Multiplying then Simplifying Radical Expressions

Multiplying 2 or more radical expressions uses the same principles as multiplying polynomials, with a few extra rules for dealing with the radicals. This lesson will teach you how to multiply and then simplify radical expressions.

Dividing Radical Expressions

7. Dividing Radical Expressions

When dividing radical expressions, we use the quotient rule. This lesson will describe the quotient rule and how to use it to solve these radical expressions.

Simplify Square Roots of Quotients

8. Simplify Square Roots of Quotients

The quotient rule can be used to simplify square roots of quotients. This lesson will define the quotient rule and show you how it is used to simplify square roots.

Rationalizing Denominators in Radical Expressions

9. Rationalizing Denominators in Radical Expressions

Radical expressions containing denominators are not simplified completely unless the denominator is free of radical symbols. This lesson will teach you how to remove a radical from the denominator of a fraction through a process called rationalizing the denominator.

Addition and Subtraction Using Radical Notation

10. Addition and Subtraction Using Radical Notation

There are specific rules governing adding and subtracting radical expressions. This lesson will describe these rules and give examples of how they are used.

Multiplying Radical Expressions with Two or More Terms

11. Multiplying Radical Expressions with Two or More Terms

Multiplying radical expressions with more than two terms can be confusing. This lesson will take some of the confusion away by giving clear steps for multiplying these expressions. It will also provide some examples to help solidify the steps.

Solving Radical Equations: Steps and Examples

12. Solving Radical Equations: Steps and Examples

Solving radical equations is not any more difficult than solving other algebraic equations. This lesson will show you how to solve equations containing a square root and give some real-world examples.

Solving Radical Equations with Two Radical Terms

13. Solving Radical Equations with Two Radical Terms

Solving equations with two radical terms takes some patience and care, but it really is not difficult. This lesson will show you the steps to solve these more complicated equations plus give you some examples to follow.

Cube Root: Definition, Formula & Examples

14. Cube Root: Definition, Formula & Examples

In this lesson, we're going to discover the world of cube roots! By the time we're done, you should be able to define what a cube root is, explain how to solve for the cube root of a number, and be familiar with several common cube roots.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the OSAT Advanced Mathematics (CEOE) (111): Practice & Study Guide course

Support