# Ch 12: Saxon Algebra 2: Roots

### About This 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.*

### 1. Negative Square Root: Definition & Overview

After completing this lesson, you will know how to write the square root of a negative number. You will also be able to complete mathematical operations that involve square roots of negative numbers.

### 2. Product of Square Roots Rule: Definition & Example

Square roots show up often in the world around us. In this lesson, we'll go over the product of square roots rule. We'll look at multiple ways to apply this rule through various examples and explanations.

### 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.

### 4. 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.

### 5. 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.

### 6. 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.

### 7. How to Rationalize the Denominator with a Radical Expression

Watch this video lesson to learn what you can do to simplify your expression when you have a radical in the denominator. Learn what the single step solution to your problem is.

### 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.

### 9. How to Convert Roots to Fractional Exponents

In this lesson, you will learn how to convert radical expressions with roots to exponential expressions that have a fraction as the exponent. The lesson will conclude with a discussion of situations where it is useful to convert roots to fractional exponents.

### 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.

### 11. How to Evaluate Roots With a Scientific Calculator

A scientific calculator makes calculating roots a lot easier. Learn what roots are and how to use your calculator to find square, cube and other roots in this lesson.

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### Other Chapters

Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course

- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs