Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.4 - 1.

Slides:

Advertisements

Similar presentations

Chapter R: Reference: Basic Algebraic Concepts

Advertisements

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Rational Exponents, Radicals, and Complex Numbers

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Adding and Subtracting Rational Expressions.

Copyright © 2011 Pearson Education, Inc. Publishing as Pearson Addison-Wesley Chapter 18 Indexing Structures for Files.

Multiplying, Dividing, and Simplifying Radicals Multiply radical expressions. 2.Divide radical expressions. 3.Use the product rule to simplify radical.

Section 3Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Simplifying Radical Expressions Use the product rule for.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,

Copyright © 2010 Pearson Education, Inc. All rights reserved. 5.5 – Slide 1.

Copyright © 2012 Pearson Education, Inc.

Notes Over 7.2 Using Properties of Rational Exponents Use the properties of rational exponents to simplify the expression.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 7 Rational Expressions and Equations.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 2 Fractions.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

 When adding radical expressions, you want to have the same root and radicand.  With the same root and radicand, you can add the coefficients and.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 1 Chapter 9 Quadratic Equations and Functions.

Simplifying Radical Expressions Simplifying Radicals Radicals with variables.

3.2 Apply Properties of Rational Exponents Do properties of exponents work for roots? What form must they be in? How do you know when a radical is in simplest.

Chapter 8 Section 7. Objectives 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Using Rational Numbers as Exponents Define and use expressions.

10.4 Adding and Subtracting Radical Expressions. Simplify radical expressions involving addition and subtraction. Objective 1 Slide

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

Radical Expressions and Functions Find the n th root of a number. 2.Approximate roots using a calculator. 3.Simplify radical expressions. 4.Evaluate.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Radical Expressions and Graphs.

Chapter 8 Section 5 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

3-1 © 2011 Pearson Prentice Hall. All rights reserved Chapter 8 Rational Exponents, Radicals, and Complex Numbers Active Learning Questions.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Integer Exponents and Scientific Notation.

Copyright © 2014, 2010, and 2006 Pearson Education, Inc. Chapter 1 Introduction to Algebraic Expressions.

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Complex Fractions.

Simplify Radical Expressions Using Properties of Radicals.

1 Copyright © Cengage Learning. All rights reserved.

7.2 Properties of Rational Exponents Do properties of exponents work for roots? What form must they be in? How do you know when a radical is in simplest.

Chapter 6 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 6-1 Rational Expressions and Equations.

Copyright © 2008 Pearson Education, Inc

Chapter 8 Section 3.

simplify radical expressions involving addition and subtraction.

Adding, Subtracting, and Multiplying Radical Expressions

Aim: How do we do the operations of radical expressions?

Adding, Subtracting, and Multiplying Radical Expressions

Adding and Subtracting Rational Expressions

Adding, Subtracting, and Multiplying Radical Expressions

Roots, Radicals, and Root Functions

Adding, Subtracting, and Multiplying Radical Expressions

Aim: How do we do the operations of radical expressions?

Complex Rational Expressions

Adding & Subtracting Radical Expressions

5.2 Properties of Rational Exponents and Radicals

Roots, Radicals, and Root Functions

Roots, Radicals, and Root Functions

Chapter 8 Section 4.

4.4 Adding and Subtracting Signed Fractions

Roots, Radicals, and Root Functions

Section 10.5 The Dot Product

Adding, Subtracting, and Multiplying Radical Expressions

Number Systems-Part 8.

Adding, Subtracting, and Multiplying Radical Expressions

Roots, Radicals, and Root Functions

4.6 Exponents, Order of Operations, and Complex Fractions

Roots, Radicals, and Root Functions

Chapter 1 Introduction to Algebra: Integers

2.2 Simplifying Expressions

Presentation transcript:

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Roots, Radicals, and Root Functions Chapter 9

Copyright © 2010 Pearson Education, Inc. All rights reserved Sec Adding and Subtracting Radical Expressions

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Adding and Subtracting Radical Expressions Objectives 1.Simplify radical expressions involving addition and subtraction.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Adding and Subtracting Radical Expressions Simplify Radical Expressions Involving Addition and Subtraction These cannot be combined.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Adding and Subtracting Radical Expressions Adding and Subtracting Radicals

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Adding and Subtracting Radical Expressions Adding and Subtracting Radicals with Greater Indexes Assume that all variables represent positive numbers.

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Adding and Subtracting Radical Expressions Adding and Subtracting Radicals with Fractions

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Adding and Subtracting Radical Expressions Adding and Subtracting Radicals with Fractions Assume that all variables represent positive numbers.