# Ch 17: Algebra II - Roots and Radical Expressions Review: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering high school algebra material will benefit from taking this course. There is no faster or easier way to learn high school algebra. Among those who would benefit are:

- Students who have fallen behind in understanding how to find the square root of a number or working with factoring radical expressions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about roots and radical expressions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Algebra II: Roots and Radical Expressions Review chapter exam.

## Why it works:

**Study Efficiently**: Skip what you know, review what you don't.**Retain What You Learn**: Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day**: Use the Algebra II: Roots and Radical Expressions Review chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any roots and radical expressions question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in an Algebra II: Roots and Radical Expressions Review unit of a standard high school algebra II course. Topics covered include:

- Estimating square roots
- Simplifying expressions containing square roots
- Radicands and radical expressions
- Factoring radical expressions
- Solving radical equations

### 1. How to Find the Square Root of a Number

Calculating the square root of a number is the inverse operation of squaring that number. Explore how to find square roots, the square of numbers, perfect and imperfect squares, and some square root practice examples.

### 2. Estimating Square Roots

Estimating square roots can be challenging, but it is one of the most common math operations. In this lesson, look at square roots, perfect square roots, the square roots of an imperfect square, estimating the square root, and example problems of all of these definitions.

### 3. Simplifying Square Roots When not a Perfect Square

When numbers are not perfect squares, their square roots can be challenging, however, it is possible to simplify square roots to make the square roots easier to see and use. Dive into ways the rules of mathematics are used to define perfect and imperfect squares and learn how to evaluate the square root of an imperfect square.

### 4. Simplifying Expressions Containing Square Roots

In mathematics, an expression contains at least two numbers connected by at least one operation, and those expressions containing square roots can be simplified. Learn about the definition of expressions, the language of radicals, and discover the steps needed for simplifying expressions containing square roots.

### 5. Radicands and Radical Expressions

Radical expressions refer to expressions that include radicals, or square root signs. Explore the definition of a radical symbol and radicand, and understand the rules for radical expressions, including why they only work with real numbers.

### 6. Evaluating Square Roots of Perfect Squares

A Perfect Square is found when a number is the square of another integer. Learn the notation of radicals in the language of math, and how to calculate the square-roots of Perfect Squares.

### 7. Factoring Radical Expressions

Radical expressions can be factored by following the product rule for radicals. Learn about radical expressions, how to identify and factor them, and how to apply the product rule to simplify a radical expression.

### 8. Simplifying Square Roots of Powers in Radical Expressions

Radical expressions are used to represent numbers that can be reduced to their base number based on their exponent. Learn about the description of a radical symbol, radical expressions with exponents, and how to simplify radical expressions.

### 9. Multiplying then Simplifying Radical Expressions

The terms under radical symbols with the same index can be combined through multiplication, then simplified. Learn how to multiply and simplify radical expressions by using the product rule, and review the examples.

### 10. Dividing Radical Expressions

Dividing of radical expressions is possible through using the quotient rule. Discover more about dividing radical expressions, including simplification of expressions and rationalization of the denominator.

### 11. Simplify Square Roots of Quotients

The quotient rule can be used to solve radical expressions. This lesson explores this idea and provides examples demonstrating how to simplify the square roots of quotients.

### 12. Rationalizing Denominators in Radical Expressions

Rationalizing denominators is a process that is used to simplify radical expressions as much as possible. Discover when a radical expression is finished, and learn how to rationalize a denominator with one term or more than one term.

### 13. Addition and Subtraction Using Radical Notation

In mathematics, a radical notation indicates the square root of a number. Learn how to do addition and subtraction using radical notation, and recognize that mathematics and algebra include terms that may not be like others though radicals are regarded as like terms.

### 14. Multiplying Radical Expressions with Two or More Terms

Multiplying radical expressions with two or more terms involves using the distributive property. Learn about multiplying radical expressions, the distributive property, and multiplying two binomials.

### 15. Solving Radical Equations: Steps and Examples

A radical equation is an equation in which a variable is under a radical. Learn to identify radicals, perform inverse operations, and solve radical equations through real-world examples.

### 16. Solving Radical Equations with Two Radical Terms

An equation containing a square root symbol, or radical, is called a radical equation. To solve a radical equation, you isolate the radical by squaring it. Learn the step-by-step process on how to solve radical equations with two radical terms by using the FOIL method and checking your work.

### 17. Cube Root: Definition, Formula & Examples

A cube root is a number that creates a cubic value by multiplying itself three times. Explore the definition, formula, and examples of cube roots and learn about moving cubes, perfect cubes, and the calculator connection.

### 18. Radicand: Definition & Concept

A radicand is the number inside a radical symbol. Discover the definition and concept of radicand and learn about radicals, the history of the radicand, and explore some examples.

### Earning College Credit

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### Other Chapters

Other chapters within the High School Algebra II: Help and Review course

- Algebra II - Basic Arithmetic Review: Help and Review
- Algebra II - Algebraic Expressions: Help & Review
- Algebra II - Real Numbers: Help and Review
- Algebra II - Complex and Imaginary Numbers Review: Help and Review
- Exponents & Exponential Expressions in Algebra: Help & Review
- Algebra II - Properties of Functions Review: Help and Review
- Algebra II - Linear Equations Review: Help and Review
- Algebra II - Systems of Linear Equations: Help and Review
- Algebra II - Inequalities Review: Help and Review
- Algebra II - Matrices and Determinants: Help and Review
- Algebra II - Absolute Value Review: Help and Review
- Algebra II - Polynomials: Help and Review
- Algebra II - Factoring: Help and Review
- Algebra II Quadratic Equations: Help and Review
- Algebra II - Rational Expressions: Help and Review
- Algebra II - Graphing and Functions: Help and Review
- Algebra II - Quadratic Equations: Help and Review
- Algebra II - Exponential and Logarithmic Functions: Help and Review
- Algebra II - Conic Sections: Help and Review
- Algebra II - Sequences and Series: Help and Review
- Algebra II - Sets: Help and Review
- Algebra II - Combinatorics: Help and Review
- Algebra II Ratios & Proportions: Help & Review
- Algebra II - Statistics: Help and Review
- Algebra II - Trigonometry: Help and Review