Ch 18: PLACE Mathematics: Radical Expressions

About This Chapter

PLACE Mathematics is the certification exam for math teachers used by the state of Colorado. Use this chapter to prepare for question on mathematical operations with radical expressions.

PLACE Mathematics: Radical Expressions - Chapter Summary

In this chapter, our expert instructors guide you through solving math problems with radical expressions as part of your review process for the PLACE Mathematics exam. The material covered in these lessons prepares you for questions on:

  • Finding square roots
  • Simplifying non-perfect square roots
  • Expressions with square roots
  • Factoring radical expressions
  • Multiplying and dividing radical expressions
  • Rationalizing denominators
  • Addition and subtraction with rational notations

You can submit questions to our instructors if any questions develop during the course of this chapter. Lesson quizzes may also prove to be helpful when finding areas you may want to review before taking the PLACE Mathematics exam. Review these areas using video tags that will take you directly to key point of the lessons.

PLACE Mathematics: Radical Expressions Chapter Objectives

The PLACE Mathematics exam is divided into multiple subsections, including one on the functions and relations of mathematics. This section makes up twenty-four percent of the test and is where you may find questions on the functions of radicals. This chapter has been developed to prepare you for these questions through a series of lesson videos taught by expert instructors who will walk you through solving problems with radical expressions.

8 Lessons in Chapter 18: PLACE 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 PLACE Mathematics: Practice & Study Guide course

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