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Ch 11: Chapter 11: Radical Expressions and Equations

About This Chapter

The Radical Expressions and Equations chapter of this Prentice Hall Algebra I Textbook Companion Course helps students learn the essential lessons associated with radical expressions and equations. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Radical Expressions and Equations textbook chapter.

How It Works:

  • Identify the lessons in the Prentice Hall Radical Expressions and Equations chapter with which you need help.
  • Find the corresponding video lessons with this companion course chapter.
  • Watch fun videos that cover the algebra topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn about:

  • The factoring of radical equations
  • The simplifying of square roots of powers
  • The division of radical expressions
  • Adding and subtracting using radical notation
  • Multiplying radical expressions
  • Rationalizing denominators
  • The steps for solving radical equations with two radical terms
  • Radical functions
  • Trigonometric ratios

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10 Lessons in Chapter 11: Chapter 11: Radical Expressions and Equations
Test your knowledge with a 30-question chapter practice test
Factoring Radical Expressions

1. 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

2. 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.

Dividing Radical Expressions

3. 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.

Addition and Subtraction Using Radical Notation

4. 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

5. 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.

Rationalizing Denominators in Radical Expressions

6. 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.

Solving Radical Equations: Steps and Examples

7. 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

8. 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.

What is a Radical Function? - Definition, Equations & Graphs

9. What is a Radical Function? - Definition, Equations & Graphs

Radical functions operate very differently than regular functions. This lesson covers the definitions, equations, and graphs that you will need to know to be successful with radical functions.

Practice Finding the Trigonometric Ratios

10. Practice Finding the Trigonometric Ratios

So you know what sine, cosine and tangent are. Great! But how do you use them? Find out how in this lesson as we find missing sides and angles using trigonometric ratios.

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

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