# Ch 18: AEPA Math: Radical Expressions

### About This Chapter

## AEPA Math - Radical Expressions - Chapter Summary

Use this chapter's entertaining video lessons to review the kind of material you'll find on the AEPA Math examination. In preparation for the test, you can practice finding the roots of numbers and solving square root problems. You may also re-learn strategies for combining terms with the product rule or simplifying the square root of a variable. This chapter can help you to:

- Calculate a number's square root and simplify imperfect squares
- Simplify expressions with variables, numbers and square roots
- Simplify radical expressions by factoring or rationalizing the denominator
- Multiply and divide expressions in order to simplify them
- Review the rules for adding and subtracting radical expressions

As you prepare for the AEPA Math examination, watch these instructor-led video lessons to learn or review concepts related to radical expressions. If you prefer, you may study the corresponding written transcripts. Submit any of your questions to the lesson instructors and use the video tags to re-watch parts of the video. Lesson quizzes and a practice chapter examination are included to test your retention.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

### 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.

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### Other Chapters

Other chapters within the AEPA Mathematics (NT304): Practice & Study Guide course

- AEPA Math: Properties of Real Numbers
- AEPA Math: Fractions
- AEPA Math: Decimals & Percents
- AEPA Math: Ratios & Proportions
- AEPA Math: Units of Measure & Conversions
- AEPA Math: Logic
- AEPA Math: Reasoning
- AEPA Math: Vector Operations
- AEPA Math: Matrix Operations & Determinants
- AEPA Math: Exponents & Exponential Expressions
- AEPA Math: Algebraic Expressions
- AEPA Math: Linear Equations
- AEPA Math: Inequalities
- AEPA Math: Absolute Value
- AEPA Math: Quadratic Equations
- AEPA Math: Polynomials
- AEPA Math: Rational Expressions
- AEPA Math: Systems of Equations
- AEPA Math: Complex Numbers
- AEPA Math: Functions
- AEPA Math: Piecewise Functions
- AEPA Math: Exponential & Logarithmic Functions
- AEPA Math: Continuity of Functions
- AEPA Math: Limits
- AEPA Math: Rate of Change
- AEPA Math: Derivative Rules
- AEPA Math: Graphing Derivatives
- AEPA Math: Applications of Derivatives
- AEPA Math: Area Under the Curve & Integrals
- AEPA Math: Integration Techniques
- AEPA Math: Applications of Integration
- AEPA Math: Foundations of Geometry
- AEPA Math: Geometric Figures
- AEPA Math: Properties of Triangles
- AEPA Math: Triangle Theorems & Proofs
- AEPA Math: Parallel Lines & Polygons
- AEPA Math: Quadrilaterals
- AEPA Math: Circles & Arc of a Circle
- AEPA Math: Conic Sections
- AEPA Math: Geometric Solids
- AEPA Math: Analytical Geometry
- AEPA Math: Using Trigonometric Functions
- AEPA Math: Trigonometric Graphs
- AEPA Math: Solving Trigonometric Equations
- AEPA Math: Trigonometric Identities
- AEPA Math: Sequences & Series
- AEPA Math: Graph Theory
- AEPA Math: Set Theory
- AEPA Math: Statistics Overview
- AEPA Math: Summarizing Data
- AEPA Math: Tables, Plots & Graphs
- AEPA Math: Probability
- AEPA Math: Discrete Probability Distributions
- AEPA Math: Continuous Probability Distributions
- AEPA Math: Sampling
- AEPA Math: Regression & Correlation
- AEPA Mathematics Flashcards