About This Chapter
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.
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.
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.
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.
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.
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.
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.
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.
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.
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Other chapters within the TASC Mathematics: Prep and Practice course
- TASC Math: Real Numbers
- TASC Math: Complex and Imaginary Numbers Review
- Intro to Algebraic Expressions
- Intro to Algebraic Equations
- TASC Math: Exponents and Exponential Expressions
- Overview of Square Roots
- TASC Math: Functions
- TASC Math: Graphing and Functions
- Overview of Sequences
- TASC Math: Inequalities
- TASC Math: Algebraic Distribution
- TASC Math: Linear Equations
- TASC Math: Factoring
- TASC Math: Quadratic Equations
- TASC Math: Graphing and Factoring Quadratic Equations
- TASC Math: Properties of Polynomial Functions
- TASC Math: Rational Expressions
- TASC Math: Measurement
- Lines, Angles & Arcs
- Shapes in Geometry
- Volume & Surface Area
- TASC Math: Calculations, Ratios, Percent & Proportions
- TASC Math: Data, Statistics, and Probability
- Making Inferences & Justifying Conclusions in Math
- TASC Mathematics Flashcards