# Ch 18: OAE Mathematics: Radical Expressions

### About This Chapter

## OAE Mathematics: Radical Expressions - Chapter Summary

These quick, engaging videos reintroduce you to the radical expressions concepts you learned in primary school as you study for the OAE Mathematics exam. This chapter covers the topics you'll likely be tested on while you work through your OAE, such as:

- How to calculate a square root
- How to simplify a square root or expression containing one
- Factoring methods for radical expressions
- Multiplication and division of radical expressions
- Using rationalizing denominators
- Addition and subtraction with radical notation

A thorough transcript highlighting key techniques, terms and ideas accompanies each video to make it easy to revisit the concepts you'd like to cover an additional time. Work through each of the lesson quizzes to practice the methods illustrated in this chapter.

### Objectives of the OAE Mathematics: Radical Expressions Chapter

If you need help reviewing radical expressions ahead of your OAE Mathematics certification evaluation, look no further. The entertaining videos and short practice quizzes in this chapter are great tools for mastering the concepts you need to know.

The OAE exam includes five content domains, which are weighted as follows regarding your score: patterns, algebra and functions (24%); geometry and measurement (19%); math processes and number sense (19%); statistics, probability and discrete mathematics (19%); and trig and calculus (19%). The computer-administered exam includes 150 selected-response (multiple-choice) tasks and is timed for four hours and fifteen minutes. You may encounter questions related to radical expressions within the patterns, algebra and functions section.

### 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 Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

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