Ch 5: Operations with Radical Expressions

About This Chapter

Watch engaging video lessons to boost your understanding of operations with radical expressions. Discover or improve your ability to add, subtract, factor, simplify and perform other operations involving radical expressions and notation.

Operations with Radical Expressions - Chapter Summary

Top instructors have developed entertaining video lessons to make learning about operations involving radical expressions fun. Access the lessons from your tablet, smartphone or computer to examine the steps needed to solve radical expression and notation problems. Once you've reviewed this chapter, you will have the knowledge to:

  • Define the radical expression
  • Factor and divide radical expressions
  • Add and subtract using radical notation
  • Simplify square roots of quotients and powers in radical expressions
  • Demonstrate how to multiply then simplify radical expressions
  • Exhibit an ability to rationalize denominators in radical expressions
  • Show how to multiply radical expressions with two or more terms

Each lesson in this chapter is available as a video or full transcript. Videos are short, making it easy for you to incorporate your review of the lessons into a busy schedule. Full transcripts are the print versions of the lessons and feature vocabulary words you can use to strengthen your understanding of operations with radical expressions. At any time, feel free to assess your knowledge of the lessons by taking short quizzes. A chapter exam is also available to gauge your comprehension of lesson concepts.

9 Lessons in Chapter 5: Operations with Radical Expressions
Test your knowledge with a 30-question chapter practice test
Radical Expression: Definition & Examples

1. Radical Expression: Definition & Examples

A radical expression is any mathematical expression containing a radical symbol (√). This lesson will go into more detail about the types of radical expressions and give some examples of how to work with them in mathematics. There will be a quiz at the end of the lesson.

Factoring Radical Expressions

2. 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.

Addition and Subtraction Using Radical Notation

3. 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.

Dividing Radical Expressions

4. 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.

Simplifying Square Roots of Powers in Radical Expressions

5. 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

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.

Simplify Square Roots of Quotients

7. 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

8. 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.

Multiplying Radical Expressions with Two or More Terms

9. 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.

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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