Ch 27: CUNY Assessment Test in Math: Radical Expressions

About This Chapter

Use these lessons to review information on operations with radical expressions and square roots as you prepare for the CUNY Assessment Test in Math. Our study guide includes fun videos, useful quizzes and other study aids that can help you get ready for this test.

CUNY Assessment Test in Math: Radical Expressions - Chapter Summary

In this chapter, you'll be able to refresh your knowledge on radical expressions and square roots as you prepare for the CUNY Assessment Test in Math. Our videos and quizzes can help you tackle test questions on topics including:

  • Finding a number's square root
  • Simplifying expressions with square roots
  • Factoring and rationalizing radical expressions
  • Multiplication with radical notation
  • Multiplication and simplification of radical expressions
  • Division with radical expressions
  • Subtraction and addition with radical expressions

These lessons are available 24/7 on a computer, smartphone or tablet. They only last about 5-10 minutes, and our instructors use animations and examples to make the lessons informative and fun. If you have questions, we provide an ask-an-expert option where you can get help.

CUNY Assessment Test in Math: Radical Expressions Chapter Objectives

CUNY has its new students show their competency in math by taking an assessment test. This test is divided into four sections of progressing difficulty, and results are used to determine placement in math classes. Questions on radical expressions are in the first section, which covers numerical skills and pre-algebra.

After completing the lessons in this chapter, you can assess your knowledge through short quizzes. At the end of the chapter is a comprehensive exam on all the topics you've reviewed in these lessons. The CUNY Assessment Test in Math consists of multiple-choice questions, like our tests. Along with providing practice answering these types of questions, our tests let you assess your knowledge prior to test day.

8 Lessons in Chapter 27: CUNY Assessment Test in Math: Radical Expressions
Test your knowledge with a 30-question chapter practice test
How to Find the Square Root of a Number

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.

Simplifying Square Roots When not a Perfect Square

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.

Simplifying Expressions Containing Square Roots

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.

Factoring Radical Expressions

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.

Multiplying then Simplifying Radical Expressions

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.

Dividing 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.

Rationalizing Denominators in 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.

Addition and Subtraction Using Radical Notation

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.

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.
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