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Ch 18: ORELA Math: Radical Expressions

About This Chapter

Prepare for the ORELA Math test by using this chapter's educational video lessons to expand your ability to work with radical expressions. The quizzes found throughout the chapter will give you opportunities to practice your skills.

ORELA Math: Radical Expressions - Chapter Summary

While you may have knowledge of radical expressions, the video lessons in this chapter will allow you to further explore different kinds of radical expressions as well as the problem-solving process. Re-examine some strategies for performing operations with radical expressions in preparation for passing the ORELA Math examination. The lessons in this chapter can help you to:

  • Find and simplify the square roots of numbers
  • Factor to simplify radical expressions
  • Add, subtract, divide and multiply radical expressions
  • Rationalize a denominator

Use these instructor-led video lessons to increase your capacity to understand and solve radical expressions so that you can answer related questions on the ORELA Math examination. Utilize various tools and resources including video tags, written transcripts and quizzes that test your knowledge. Study at a pace that is convenient for you, and submit your questions to video lesson instructors for clarification.

ORELA Math: Radical Expressions - Chapter Objectives

You will find that some of the information in the ORELA Math examination's Patterns, Algebra and Functions section parallel the subject matter in this chapter. This section adds up to 24% of the examination's 150 multiple-choice questions. The examination is computer-based and takes about four hours and 15 minutes for completion. A scientific calculator is provided for your use during the examination.

8 Lessons in Chapter 18: ORELA Math: 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.

Simplifying Square Roots When not a Perfect Square

2. 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 Expressions Containing Square Roots

3. 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.

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.

Multiplying then Simplifying Radical Expressions

5. 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

6. 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.

Rationalizing Denominators in Radical Expressions

7. 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

8. 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.

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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Other Chapters

Other chapters within the ORELA Mathematics: Practice & Study Guide course

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