Ch 12: Saxon Algebra 2: Roots

About This Chapter

The Roots chapter of this Saxon Algebra 2 Companion Course helps students learn the essential lessons associated with roots. Each of these simple and fun video lessons is about five minutes long and is sequenced to align with the Roots textbook chapter.

How It Works:

  • Identify the lessons in the Saxon Roots chapter with which you need help.
  • Find the corresponding video lessons with this companion course chapter.
  • Watch fun videos that cover the roots topics you need to learn or review.
  • Complete the quizzes to test your understanding.
  • If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.

Students will learn:

  • Negative square roots
  • Product of square roots
  • Radical notation and equations
  • Rationalizing the denominator
  • Simplifying the root of roots and quotients
  • Coverting roots to fractional exponents
  • Euler's Notation
  • Working with roots with a scientific calculator

Saxon is a registered trademark of Houghton Mifflin Harcourt, which is not affiliated with Study.com.

11 Lessons in Chapter 12: Saxon Algebra 2: Roots
Test your knowledge with a 30-question chapter practice test
Negative Square Root: Definition & Overview

1. Negative Square Root: Definition & Overview

A negative square root and a positive square root make a positive number. Explore an overview of square roots with a definition of the negative square root, learn about the imaginary unit, operations with imaginary numbers, and powers of the imaginary unit.

Product of Square Roots Rule: Definition & Example

2. Product of Square Roots Rule: Definition & Example

The product of square roots rule has many applications in mathematics. Learn how to multiply two square root expressions and understand how to factor and simplify products or numbers under a square root symbol.

Addition and Subtraction Using Radical Notation

3. Addition and Subtraction Using Radical Notation

In mathematics, a radical notation indicates the square root of a number. Learn how to do addition and subtraction using radical notation, and recognize that mathematics and algebra include terms that may not be like others though radicals are regarded as like terms.

Multiplying Radical Expressions with Two or More Terms

4. Multiplying Radical Expressions with Two or More Terms

Multiplying radical expressions with two or more terms involves using the distributive property. Learn about multiplying radical expressions, the distributive property, and multiplying two binomials.

Solving Radical Equations: Steps and Examples

5. Solving Radical Equations: Steps and Examples

A radical equation is an equation in which a variable is under a radical. Learn to identify radicals, perform inverse operations, and solve radical equations through real-world examples.

Simplify Square Roots of Quotients

6. Simplify Square Roots of Quotients

The quotient rule can be used to solve radical expressions. This lesson explores this idea and provides examples demonstrating how to simplify the square roots of quotients.

How to Rationalize the Denominator with a Radical Expression

7. How to Rationalize the Denominator with a Radical Expression

An irrational denominator is a denominator that is a radical. Discover how to rationalize an irrational denominator with radical expressions in this lesson.

How to Simplify Roots of Roots

8. How to Simplify Roots of Roots

This lesson will teach you how to simplify and evaluate expressions that contain radicals within radicals. You will see several examples worked out and explained.

How to Convert Roots to Fractional Exponents

9. How to Convert Roots to Fractional Exponents

Radical expressions with roots can be converted to fractional exponents by reworking their parts—the radicand and index—into the base and denominator of a fraction. See the steps involved in this conversion, and identify its uses as well.

Euler's Notation: Definition & Example

10. Euler's Notation: Definition & Example

Complex numbers can be written in a few different forms, one of which is called Euler's notation. This lesson will explain each form's notation and the relationships between each form. We'll also look at various examples of converting between forms.

How to Evaluate Roots With a Scientific Calculator

11. How to Evaluate Roots With a Scientific Calculator

Calculating roots can be done with ease using a scientific calculator. Master the operations to find square roots, use the custom root button, and the exponent button as well through the example practice problems.

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.
Not Taken
More Exams
There are even more practice exams available in Saxon Algebra 2: Roots.

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