About This Chapter
ELM Numbers and Data: Irrational Numbers - Chapter Summary
Use our targeted video lessons to review for your ELM competency exam. The lessons in this chapter address the following crucial math concepts:
- Evaluating the square roots of perfect squares
- Estimating square roots
- Simplifying square roots of imperfect squares
- Simplifying complex expressions that include square roots
You can practice the strategies for evaluating and estimating square roots with our short, engaging lessons. End each lesson by completing the quick, interactive quiz to check for topic mastery.
ELM Numbers and Data Objectives
You'll most likely be required to take the ELM if you're planning to attend a school in the California State University system. The ELM exam allocates about 35% of its total questions to numbers and data-related topics. The entire test contains 50 questions, and you can take up to 90 minutes to complete it. You should expect to see questions concerning the following objectives in the Numbers and Data portion of your test:
- Estimating and evaluating square roots
- Understanding and using basic arithmetic calculations
- Solving problems using fractions, decimals and percents
- Interpreting and using proportion and ratio
- Understanding print and electronic data presented in charts, tables, graphs and histograms
- Interpreting and calculating the median and the arithmetic mean
You can get ready for the ELM with our help. Work your way through this chapter's lessons that address square roots in addition to completing the other chapters concerned with numbers and data.
1. Evaluating Square Roots of Perfect Squares
Squares and square roots are inverse, or opposite, operations involving radicals. Learn how to determine the square root of perfect squares in this lesson.
2. Estimating Square Roots
Inverse operations are mathematical operations that undo each other. The square root is the inverse of the squared (or multiplying a number by itself) operation. There is an easy method for estimating the square root of a number, which you will learn in this lesson.
3. 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.
4. 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.
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Other chapters within the ELM: CSU Math Study Guide course
- ELM Test - Numbers and Data: Basic Arithmetic Calculations
- ELM Test - Numbers and Data: Rational Numbers
- ELM Test - Numbers and Data: Decimals and Percents
- ELM Test - Numbers and Data: Data & Statistics
- ELM Test - Algebra: Basic Expressions
- ELM Test - Algebra: Exponents
- ELM Test - Algebra: Linear Equations & Inequalities
- ELM Test - Algebra: Absolute Value Equations & Inequalities
- ELM Test - Algebra: Polynomials
- ELM Test - Algebra: Rational Expressions
- ELM Test - Geometry: Perimeter, Area & Volume
- ELM Test - Geometry: Properties of Objects
- ELM Test - Geometry: Graphing Basics
- ELM Test - Geometry: Graphing Functions
- About the ELM Test
- ELM Flashcards