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Ch 24: TExES Core Subjects 4-8: Radical Expressions

About This Chapter

The lessons in this chapter were designed as a refresher to increase your competency in preparation for the radical expressions portion of the Texas Examinations of Educator Standards (TExES) Core Subjects 4-8 test.

TExES Core Subjects 4-8: Radical Expressions - Chapter Summary

Our instructors created these short videos as a study aid for individuals who are planning on taking the TExES Core Subjects 4-8 test. Watching these videos will improve your answers to the test questions. Our lesson topics include:

  • Finding the square root
  • Discovering the square roots of perfect squares
  • Simplifying square roots that aren't a perfect square
  • Simplifying complex expressions and square roots of quotients
  • Multiplying, dividing, adding and subtracting radical expressions
  • Rationalizing radical expressions' denominators
  • Using the steps for solving radical equations

Each video lesson is 5-10 minutes long, hosted by an instructor who loves radical expressions, and includes a quiz at the end to assess your understanding of the material. Also, we include a feature that allows you to ask questions of the instructor.

13 Lessons in Chapter 24: TExES Core Subjects 4-8: Radical Expressions
Test your knowledge with a 30-question chapter practice test
How to Find the Square Root of a Number

1. How to Find the Square Root of a Number

What is a square root? In this lesson, we'll learn what a square root is and how to find it. We'll review a variety of examples in order to master the concept.

Evaluating Square Roots of Perfect Squares

2. 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.

Simplifying Square Roots When not a Perfect Square

3. Simplifying Square Roots When not a Perfect Square

Numbers that are imperfect squares are those that, when evaluated, do not give solutions that are integers. The proper mathematical way to simplify these imperfect squares is discussed in this lesson.

Simplifying Complex Expressions That Contain Square Roots

4. Simplifying Complex Expressions That Contain Square Roots

Watch this video lesson to learn the process of simplifying square roots in complex expressions. Learn how to use the letter i and how to reduce your square roots.

Factoring Radical Expressions

5. 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

6. 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

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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.

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

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Other Chapters

Other chapters within the TExES Core Subjects 4-8 (211): Practice & Study Guide course

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