Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 9.1 - 1 9.1 Radical Expressions and Graphs.

Slides:



Advertisements
Similar presentations
Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.
Advertisements

Introduction to Radicals
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Section 7.1 Basic of Roots (Radicals). Definition of a Square Root if and only if is a square root of.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.
Multiplying, Dividing, and Simplifying Radicals Multiply radical expressions. 2.Divide radical expressions. 3.Use the product rule to simplify radical.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Slide Copyright © 2012 Pearson Education, Inc.
11-3 Simplifying Radical Expressions Standard 2.0 One Property.
6-3: Rational Exponents Unit 6: Rational /Radical Equations.
3.3 Graph Square Root Functions 3.1, 3.3 Test: May 4 Computer Lab (C32): May 5.
Checking Factoring  The checking of factoring can be done with the calculator.  Graph the following expressions: 1.x 2 + 5x – 6 2.(x – 3)(x – 2) 3.(x.
Slide 7- 1 Copyright © 2012 Pearson Education, Inc.
Section 1Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Radical Expressions and Graphs Find roots of numbers. Find.
Chapter 10 Exponents & Radicals Phong Chau. Section 10.1 Radical Expressions & Functions.
1 7.1 and 7.2 Roots and Radical Expressions and Multiplying and Dividing Radical Expressions.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
Chapter 8 Section 2 Copyright © 2008 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Exponents and Radicals Digital Lesson. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 Repeated multiplication can be written in.
6.1 Radical Expression Function and Models. Properties of Square Roots Every positive real number has two real-number square roots. The number 0 has just.
Roots of Real Numbers and Radical Expressions. Definition of n th Root ** For a square root the value of n is 2. For any real numbers a and b and any.
7.1 Radical Expressions.
HAWKES LEARNING SYSTEMS Students Matter. Success Counts. Copyright © 2013 by Hawkes Learning Systems/Quant Systems, Inc. All rights reserved. Section 9.1.
Roots and Radicals. Radicals (also called roots) are directly related to exponents.
Copyright © 2012 Pearson Education, Inc.
You should know or start to recognize these: 2 2 = 43 2 = 94 2 = = = 83 3 = = = = = = = = 323.
Copyright © 2014, 2010, 2006 Pearson Education, Inc. 1 Chapter 3 Quadratic Functions and Equations.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 15 Roots and Radicals.
HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2011 Hawkes Learning Systems. All rights reserved. Hawkes Learning Systems: Developmental.
Radical Basics We will work with square roots, thus, you do not need to write the index. The index for square roots is 2.
Rational Exponents Evaluate rational exponents. 2.Write radicals as expressions raised to rational exponents. 3.Simplify expressions with rational.
Chapter P Prerequisites: Fundamental Concepts of Algebra 1 Copyright © 2014, 2010, 2007 Pearson Education, Inc. 1 P.3 Radicals and Rational Exponents.
Simplifying Radical Expressions Simplifying Radicals Radicals with variables.
MAT 105 FALL 2008 Roots and Radicals
5.5 Roots of Real Numbers Squares Roots Nth Roots Principal Roots.
Copyright © 2010 Pearson Education, Inc. All rights reserved Sec
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 © 2011 Pearson Education, Inc. Rational Exponents and Radicals Section P.3 Prerequisites.
7.1 Radicals and Radical Functions. Square Roots Opposite of squaring a number is taking the square root of a number. A number b is a square root of a.
Roots of Real Numbers Definitions Simplifying Radicals
Slide 7- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
11-1 Simplifying Radical Expressions. Product Properties for Radicals For any nonnegative real numbers x and y. a. b.
Slide 7- 1 Copyright © 2006 Pearson Education, Inc. Publishing as Pearson Addison-Wesley.
Section 1Chapter 8. 1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives Radical Expressions and Graphs Find roots of numbers. Find.
TOPIC 18.1 Radical Expressions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
MTH 100 Radical Expressions.
Adding, Subtracting, and Multiplying Radical Expressions
Copyright © 2014, 2010, 2007 Pearson Education, Inc.
Copyright © 2008 Pearson Education, Inc
Roots of Real Numbers and Radical Expressions
Roots, Radicals, and Root Functions
Chapter 8 – Roots, Radicals and Rational Functions
Section 2.5 Graphing Techniques; Transformations
7. Roots and Radical Expressions
Roots of Real Numbers and Radical Expressions
Copyright © 2013 Pearson Education, Inc. All rights reserved
Section 2.5 Graphing Techniques; Transformations
Radicals and Radical Functions
Introduction to Radicals Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.
Roots, Radicals, and Root Functions
Roots, Radicals, and Root Functions
Roots and Radical Expressions
Radicals and Radical Functions
5-6 Simplifying Radical Expressions
Roots, Radicals, and Root Functions
Roots, Radicals, and Root Functions
Presentation transcript:

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

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

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Radical Expressions and Graphs Find Roots of Numbers Simplifying Higher Roots

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

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Radical Expressions and Graphs Finding Roots Because the radicand, 25, is positive, there are two square roots, –5 and 5. The principal root is 5. Here, we want the negative square root, –5. The index is even and the radicand is negative, so this is not a real number. The index is odd, so the root is –4 since (–4) 3 = –64.

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

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

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

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Radical Expressions and Graphs Use a Calculator to Find Roots Examples:

Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec Radical Expressions and Graphs Using a Calculator to Find the Velocity of an Orbiting Body

Feedback: Privacy Policy Feedback
Do Not Sell My Personal Information
About project: SlidePlayer Terms of Service

© 2024 SlidePlayer.com Inc. All rights reserved.