About This Chapter
How It Works:
- Identify the lessons in the Saxon Roots chapter with which you need help.
- Find the corresponding video lessons with this companion course chapter.
- Watch fun videos that cover the roots topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Negative square roots
- Product of square roots
- Radical notation and equations
- Rationalizing the denominator
- Simplifying the root of roots and quotients
- Coverting roots to fractional exponents
- Euler's Notation
- Working with roots with a scientific calculator
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1. Negative Square Root: Definition & Overview
A negative square root and a positive square root make a positive number. Explore an overview of square roots with a definition of the negative square root, learn about the imaginary unit, operations with imaginary numbers, and powers of the imaginary unit.
2. Product of Square Roots Rule: Definition & Example
The product of square roots rule has many applications in mathematics. Learn how to multiply two square root expressions and understand how to factor and simplify products or numbers under a square root symbol.
3. 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.
4. 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.
5. 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.
6. 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.
7. How to Rationalize the Denominator with a Radical Expression
An irrational denominator is a denominator that is a radical. Discover how to rationalize an irrational denominator with radical expressions in this lesson.
8. How to Simplify Roots of Roots
This lesson will teach you how to simplify and evaluate expressions that contain radicals within radicals. You will see several examples worked out and explained.
9. How to Convert Roots to Fractional Exponents
Radical expressions with roots can be converted to fractional exponents by reworking their parts—the radicand and index—into the base and denominator of a fraction. See the steps involved in this conversion, and identify its uses as well.
10. Euler's Notation: Definition & Example
Complex numbers can be written in a few different forms, one of which is called Euler's notation. This lesson will explain each form's notation and the relationships between each form. We'll also look at various examples of converting between forms.
11. How to Evaluate Roots With a Scientific Calculator
Calculating roots can be done with ease using a scientific calculator. Master the operations to find square roots, use the custom root button, and the exponent button as well through the example practice problems.
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Other chapters within the Saxon Algebra 2 Homeschool: Online Textbook Help course
- Saxon Algebra 2: Decimal Numbers
- Saxon Algebra 2: Graphs on the Coordinate Plane
- Saxon Algebra 2: Sets
- Saxon Algebra 2: Real Numbers
- Saxon Algebra 2: Complex Numbers
- Saxon Algebra 2: Conversion by Unit Multipliers
- Saxon Algebra 2: Ratio & Proportion
- Saxon Algebra 2: Percent
- Saxon Algebra 2: Rate
- Saxon Algebra 2: Exponents
- Saxon Algebra 2: Exponents on a Scientific Calculator
- Saxon Algebra 2: Probability
- Saxon Algebra 2: Statistics
- Saxon Algebra 2: Simplifying Expressions
- Saxon Algebra 2: Polynomials
- Saxon Algebra 2: Simplifying Rational Expressions
- Saxon Algebra 2: Simplifying and Solving Equations
- Saxon Algebra 2: Linear Equations
- Saxon Algebra 2: Solving Linear Equations
- Saxon Algebra 2: Quadratic Equations
- Saxon Algebra 2: Other Types of Equations
- Saxon Algebra 2: Understanding Functions
- Saxon Algebra 2: Manipulating and Evaluating Functions
- Saxon Algebra 2: Trigonometry
- Saxon Algebra 2: Logarithms
- Saxon Algebra 2: Lines, Points, Segments, and Planes
- Saxon Algebra 2: Angles
- Saxon Algebra 2: Polygons
- Saxon Algebra 2: Circles
- Saxon Algebra 2: Triangles
- Saxon Algebra 2: Geometric Solids
- Saxon Algebra 2: Perimeter and Circumference
- Saxon Algebra 2: Area
- Saxon Algebra 2: Surface Area and Volume
- Saxon Algebra 2: Constructions
- Saxon Algebra 2: Postulates & Pythagorean Theorem
- Saxon Algebra 2: Proofs