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Ch 7: TASC Math: Radical Expressions

About This Chapter

This test preparation chapter delves into many different radical expressions topics you could encounter on the TASC Mathematics exam. Watch videos and then look at the transcripts to gain a strong understanding of the content as you get ready for the test.

TASC Math: Radical Expressions - Chapter Summary

Use these video lessons for a quick and effective way to refresh your knowledge of radical expressions, square roots and radical equations. The chapter helps you review the radical expression topics that appear on the TASC Mathematics exam, such as radicands, radical equations and radical notation. By the end of the chapter, you should be able to:

  • Work with radical expressions and radicands
  • Simplify expressions that contain square roots
  • Divide and multiply radical expressions
  • Factor and simplify radical expressions
  • Solve radical equations
  • Use radical notation to add and subtract
  • Multiply radical expressions that have two or more terms
  • Rationalize denominators in a radical expression

You'll be prepared for exam items that involve radical expressions after watching the fun video lessons or reviewing the word-for-word transcripts in this chapter. The printable transcripts show key terms in bold that point out some of the most important lesson pieces and formulas. The chapter also includes self-assessment quizzes that can help you retain the information you study. Review the chapter whenever your schedule allows, and be sure to use the Ask the Expert feature if you have any questions.

11 Lessons in Chapter 7: TASC Math: Radical Expressions
Test your knowledge with a 30-question chapter practice test
Simplifying Expressions Containing Square Roots

1. 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.

Radicands and Radical Expressions

2. 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.

Factoring Radical Expressions

3. 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.

Simplifying Square Roots of Powers in Radical Expressions

4. 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

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.

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.

Solving Radical Equations: Steps and Examples

10. 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

11. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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