<meta http-equiv="refresh" content="1; url=/nojavascript/"> Simplification of Radical Expressions | CK-12 Foundation

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Levels are CK12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

by CK-12 //basic

Learn how to simplify different forms of radicals.

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Simplify radical expressions by using distribution and rationalizing the denominator.

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by CK-12 //basic

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## Simplifying Square Roots

This lesson covers adding, subtracting, and multiplying square roots.

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by CK-12 //basic

Evaluate radical expressions including perfect squares, cubes and approximate square roots.

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• Video

## Rationalizing the Denominator - Overview

by CK-12 //basic

Overview

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• Video

by CK-12 //basic

Demonstrates how to simplify a radical square root expression

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• Video

## Understanding Square Roots

by CK-12 //basic

A lesson on square roots.

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## Radical Expressions with Higher Roots

by CK-12 //basic

Goes over radical expressions with higher roots.

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## Radical Expressions: A Sample Application

This video demonstrates a sample use of radical expressions.

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• Video

## Evaluating Expressions with Rational Exponents - Overview

by CK-12 //basic

Overview

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• Video

## Radical Expressions: An Explanation of the Concept

This video provides an explanation of the concept of radical expressions.

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## Applying Properties of Radicals - Overview

by CK-12 //basic

Overview

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• Video

## Combining Like Radicals and Roots - Overview

by CK-12 //basic

Overview

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• Video

## Evaluating Expressions with Rational Exponents - Example 1

by CK-12 //basic

Rewriting Expressions in Rational Exponent Form Given Radical Form

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• Video

## Evaluating Expressions with Rational Exponents - Example 2

by CK-12 //basic

Rewriting Expressions in Radical Form Given Rational Exponent Form

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## Evaluating Expressions with Rational Exponents - Example 3

by CK-12 //basic

Evaluating Expressions With Rational Exponents Using Rational Exponent Form

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• Video

## Evaluating Expressions with Rational Exponents - Example 4

by CK-12 //basic

Evaluating Expressions With Rational Exponents Using Radical Form

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## Applying Properties of Radicals - Example 1

by CK-12 //basic

Simplifying Expressions in Radical Form Using the Product Property

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• Video

## Applying Properties of Radicals - Example 2

by CK-12 //basic

Simplifying Expressions in Radical Form Using the Quotient Property

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## Applying Properties of Radicals - Example 3

by CK-12 //basic

Writing Radical Expressions in Simplest Form

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## Combining Like Radicals and Roots - Example 1

by CK-12 //basic

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• Video

## Combining Like Radicals and Roots - Example 2

by CK-12 //basic

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• Practice

## Simplification of Radical Expressions Practice

by CK-12 //basic

Practice Simplification of Radical Expressions questions

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• Critical Thinking

A list of student-submitted discussion questions for Radical Expressions.

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To stimulate the critical thinking skills required to assess the validity of statements about the key concept using an Agree/Disagree Table.

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To emphasize students’ understanding of key words and practice applying the definitions of the vocabulary words to examples and drawings using the Frayer Model.

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Come up with questions about a topic and learn new vocabulary to determine answers using the table

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Develop understanding of concepts by studying them in a relational manner. Analyze and refine the concept by summarizing the main idea, creating visual aids, and generating questions and comments using a Four Square Concept Matrix.

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## Simplifying Square Roots Stop and Jot

Strengthen ability to analyze word meaning and symbolic or mathematical notation from context and introduce students to unfamiliar vocabulary or notation. Further solidify understanding by defining new vocabulary words and notation as well as generating personal examples of words, concepts, and notation usage.

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• Real World Application

## Tsunami

by CK-12 //basic

Find out what causes tsunamis and the extent of destruction and death caused by the 2004 South Asian tsunami.

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• Study Guide

## Irrational Numbers and Radicals Study Guide

This study guide looks at square and cube roots, radical expressions, rationalization, solving radical equations, and graphing radical functions and equations.

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• Flashcards