Ch 18: OAE Mathematics: Radical Expressions

About This Chapter

This chapter presents a series of short, entertaining video lessons designed to help you gain mastery of the radical expressions concepts you'll likely encounter on the OAE Math certification assessment. Be sure to ask our instructors any radical expressions questions you have as you work through this chapter.

OAE Mathematics: Radical Expressions - Chapter Summary

These quick, engaging videos reintroduce you to the radical expressions concepts you learned in primary school as you study for the OAE Mathematics exam. This chapter covers the topics you'll likely be tested on while you work through your OAE, such as:

  • How to calculate a square root
  • How to simplify a square root or expression containing one
  • Factoring methods for radical expressions
  • Multiplication and division of radical expressions
  • Using rationalizing denominators
  • Addition and subtraction with radical notation

A thorough transcript highlighting key techniques, terms and ideas accompanies each video to make it easy to revisit the concepts you'd like to cover an additional time. Work through each of the lesson quizzes to practice the methods illustrated in this chapter.

Objectives of the OAE Mathematics: Radical Expressions Chapter

If you need help reviewing radical expressions ahead of your OAE Mathematics certification evaluation, look no further. The entertaining videos and short practice quizzes in this chapter are great tools for mastering the concepts you need to know.

The OAE exam includes five content domains, which are weighted as follows regarding your score: patterns, algebra and functions (24%); geometry and measurement (19%); math processes and number sense (19%); statistics, probability and discrete mathematics (19%); and trig and calculus (19%). The computer-administered exam includes 150 selected-response (multiple-choice) tasks and is timed for four hours and fifteen minutes. You may encounter questions related to radical expressions within the patterns, algebra and functions section.

8 Lessons in Chapter 18: OAE Mathematics: 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 Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course