Login

Ch 27: THEA Test: Radical Expressions

About This Chapter

Short and engaging video lessons can help you refresh your knowledge of radical expressions. Review the lessons and take short quizzes to enhance your preparations for the THEA test in Texas.

THEA Test: Radical Expressions - Chapter Summary

This chapter provides the comprehensive overview of radical expressions you need to answer related questions on the THEA test in Texas. After reviewing the lessons, you will be able to:

  • Simplify square roots
  • Understand division and reciprocals of radical expressions
  • Evaluate square roots of perfect squares and factor radical expressions
  • Divide or multiply then simplify radical expressions
  • Rationalize denominators in radical expressions and simplify square roots of quotients
  • Add and subtract using radical notation and multiply radical expressions using two or more terms
  • Solve radical equations containing a square root or two radical terms

The lessons give you an opportunity to learn from expert instructors from the comfort of your home or on the go via your smartphone or tablet. If you have any questions about lesson concepts, submit them any time.

THEA Test: Radical Expressions Objectives

The THEA test is designed to ensure prospective college freshman have the reading, math and writing comprehension skills needed to perform well at a Texas public college or university. It consists of three sections that are scored separately. This chapter's topics are found in the mathematics section, which consists of 50 multiple-choice questions and requires a minimum score of 230 to pass.

In addition to watching the videos in this chapter, you can take short quizzes and a chapter exam to reinforce lesson concepts. If you want to review specific information within the lessons, take advantage of timelines located below the videos that allow you to easily identify and skip to key topics.

13 Lessons in Chapter 27: THEA Test: Radical Expressions
Simplifying Square Roots When not a Perfect Square

1. 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.

Division and Reciprocals of Radical Expressions

2. Division and Reciprocals of Radical Expressions

Watch this video lesson to learn what you need to do when dividing radical expressions. Learn what you need to look out for before you divide and why you can't leave your radical in your denominator.

Radicands and Radical Expressions

3. 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

4. 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

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.

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.

Earning College Credit

Did you know… We have over 95 college courses that prepare you to earn credit by exam that is accepted by over 2,000 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 THEA Test: Practice & Study Guide course

Support