In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify...

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In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents RADICALS ARE SO RAD DUDE!!!! 1

Transcript of In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify...

Page 1: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

In this section, we will…

Use rational exponent notation

Find nth roots

Evaluate and simplify radical expressions

7.1 – nth Roots and Rational Exponents

RADICALS ARE SO RAD DUDE!!!! 1

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Page 2: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

If a is a non-negative real number, any number b, such that is the square root of a and is denoted

Examples: Evaluate the following by taking the square root.

2b ab a

16

Recall that…

Negative numbers do not have real square roots!121

2b a

2

Page 3: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

RAD-TASTIC MATHEMATICSVocabulary Important Properties

3

n am

n m na a

mm

n na a

1 m

nm

na

a

Page 4: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

RAD-RRRIFIC EXAMPLES4

• Rewrite the expression using rational exponent notation.

1.

2.

3.

4.

5.

5

3 8

3 24

89 13

165 2

1

251

38

2

34

8

91316

52

Page 5: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

5

EXAMPLES WITH SWAGG

• Rewrite the expression using radical notation.

1.

2.

3.

4.

5.

3

7z

2

36

1

25

6

89

1

520

23 6

5

37 z

34 9

5 20

Page 6: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

6

2 KOOL 4 SKOOL

• Evaluate the expression without a calculator.

1.

2.

3.

4.

5.

3 64

6 64

1

31

24 16

43 27

4

2

1

4

1

81

Page 7: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

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• Solve the equation.

MR. V’S EXAMPLES ARE DA BOMB

1.

2.

3.

3 125x

53 3x

2( 4) 0x

5x

1x

4x

Page 8: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

pgs. 404-405 #14-22 even, 30-40 even, 53-55 all

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Homework

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Page 9: In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expressions 7.1 – nth Roots and Rational Exponents.

Real World Uses of Square Roots

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Pythagorean Theorem

http://www.youtube.com/watch?v=_TrFzF0ZE00

X2 t01 07 nth roots of unity (2012)

X2 t01 07 nth roots of unity (2012)

1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 2 3 4 Rational Exponents Use exponential notation for nth roots. Define and use expressions.

1 Copyright © 2012, 2008, 2004 Pearson Education, Inc. Objectives 2 3 4 Rational Exponents Use exponential notation for nth roots. Define and use expressions.

A.9 Day 2 nth Roots Rational Exponents Radical Equations 2010staffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus... · 2010. 9. 22. · A.9 Day 2 nth Roots_Rational Exponents_Radical

A.9 Day 2 nth Roots Rational Exponents Radical Equations 2010staffweb.psdschools.org/kemotich/Mrs_Motichka/Precalculus... · 2010. 9. 22. · A.9 Day 2 nth Roots_Rational Exponents_Radical

7.1 nth Roots and Rational Exponents

7.1 nth Roots and Rational Exponents

5-6 - 5-8 Roots and Zeros Rational Root Theorem - All rational ......5-6 - 5-8 Roots and Zeros Rational Root Theorem - All rational roots will be in the form where p is a factor of

5-6 - 5-8 Roots and Zeros Rational Root Theorem - All rational ......5-6 - 5-8 Roots and Zeros Rational Root Theorem - All rational roots will be in the form where p is a factor of

Theorems About Roots of Polynomial Equations Rational Roots.

Theorems About Roots of Polynomial Equations Rational Roots.

7.1, 7.2 & 7.3 Roots and Radicals and Rational Exponents Square Roots, Cube Roots & Nth Roots Converting Roots/Radicals to Rational Exponents Properties.

7.1, 7.2 & 7.3 Roots and Radicals and Rational Exponents Square Roots, Cube Roots & Nth Roots Converting Roots/Radicals to Rational Exponents Properties.

3.1 Evaluate nth Roots and Use Rational Exponents

3.1 Evaluate nth Roots and Use Rational Exponents

A.9 Day 2 nth Roots Rational Exponents Radical …...Work with n th Roots Simplify Radicals A.9 Day 2 nth Roots_Rational Exponents_Radical Equations 2010 2 September 22, 2010 Nov 3

A.9 Day 2 nth Roots Rational Exponents Radical …...Work with n th Roots Simplify Radicals A.9 Day 2 nth Roots_Rational Exponents_Radical Equations 2010 2 September 22, 2010 Nov 3

Squares, Square Roots, Cube Roots, & Rational vs. Irrational Numbers.

Squares, Square Roots, Cube Roots, & Rational vs. Irrational Numbers.

X2 T01 07 nth roots of unity

X2 T01 07 nth roots of unity

6 Rational Exponents and Radical Functions · 290 Chapter 6 Rational Exponents and Radical Functions 6.1 Lesson WWhat You Will Learnhat You Will Learn Find nth roots of numbers. Evaluate

6 Rational Exponents and Radical Functions · 290 Chapter 6 Rational Exponents and Radical Functions 6.1 Lesson WWhat You Will Learnhat You Will Learn Find nth roots of numbers. Evaluate

N th Roots and Rational Exponents What you should learn: Evaluate nth roots of real numbers using both radical notation and rational exponent notation.

N th Roots and Rational Exponents What you should learn: Evaluate nth roots of real numbers using both radical notation and rational exponent notation.

7.1 Roots and Rational Exponents

7.1 Roots and Rational Exponents

7.1 nth Roots and Rational Expressions In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expression.

7.1 nth Roots and Rational Expressions In this section, we will… Use rational exponent notation Find nth roots Evaluate and simplify radical expression.

ADVANCED ALGEBRA II CHAPTER 6 RATIONAL …€¦ · chapter 6 – rational exponents and radical functions 6.1 evaluate nth roots and use rational exponents ... properties of radicals

ADVANCED ALGEBRA II CHAPTER 6 RATIONAL …€¦ · chapter 6 – rational exponents and radical functions 6.1 evaluate nth roots and use rational exponents ... properties of radicals

7.1/7.2 Nth Roots and Rational Exponents How do you change a power to rational form and vice versa? How do you evaluate radicals and powers with rational.

7.1/7.2 Nth Roots and Rational Exponents How do you change a power to rational form and vice versa? How do you evaluate radicals and powers with rational.

5 Rational Exponents and Radical Functions238 Chapter 5 Rational Exponents and Radical Functions 5.1 Lesson What You Will Learn Find nth roots of numbers. Evaluate expressions with

5 Rational Exponents and Radical Functions238 Chapter 5 Rational Exponents and Radical Functions 5.1 Lesson What You Will Learn Find nth roots of numbers. Evaluate expressions with

3.1 Evaluate nth Roots and Use Rational Exponents p. 166 What is a quick way to tell what kind of real roots you have? How do you write a radical in exponent.

3.1 Evaluate nth Roots and Use Rational Exponents p. 166 What is a quick way to tell what kind of real roots you have? How do you write a radical in exponent.

notes...Product Rule for nth Roots Quotient Rule for nth Roots Perfect nth Roots of Perfect nth Powers Definition of ay Definition of Sirnplify and Evaluate Exponents Notes P3 Radicals

notes...Product Rule for nth Roots Quotient Rule for nth Roots Perfect nth Roots of Perfect nth Powers Definition of ay Definition of Sirnplify and Evaluate Exponents Notes P3 Radicals