Honors Precalculus Adv. January 13, 2017 Mrs. Agnew

Slides:

Advertisements

Similar presentations

Unit: Radical Functions 7-2: Multiplying and Dividing Radical Expressions Essential Question: I put my root beer in a square cup… now it’s just beer.

Advertisements

Warm Up Simplify each expression

Objective: 7.2 Properties of Rational Exponents1 Homework Answers / / / /

Properties of Rational Exponents Section 7.2. WHAT YOU WILL LEARN: 1. Simplify expressions with rational exponents. 2. Use properties of rational exponents.

Review: Laws of Exponents Questions Q: 4 0 =? A: 1 Q: 4 1 =? A: 4 Q: 4 1/2 =? A: Let’s square the number (4 1/2 ) 2 =? (4 1/2 ) 2 = 4 1 = 4 Recall: b.

5.7 Rational Exponents Fraction Exponents.

11.3 Simplifying Radicals Simplifying Radical Expressions.

Section 10.5 Expressions Containing Several Radical Terms.

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

6.1 – Rational Exponents Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. This symbol is the radical.

Table of Contents Rational Exponents When a base is raised to a rational exponent of the form 1/n we use the following definition: The denominator of the.

Rational Exponents When a base is raised to a rational exponent of the form 1/n we use the following definition: The denominator of the rational exponent.

Note that the denominator of the exponent becomes the index and the base becomes the radicand. Example Write an equivalent expression using radical.

7.7 Operations with Radicals.  A or of radicals can be simplified using the following rules.  1. Simplify each in the sum.  2. Then, combine radical.

Simplifying Radicals. Radical Flashback Simplifying Radicals: 1.Find the greatest perfect square that goes into the radicand. 2.Take the square root of.

6.3 Simplifying Radical Expressions In this section, we assume that all variables are positive.

 The symbol is called a.  b is called the.  n is called the.  if n is, and if n is.  We can take an root of a negative number, but we cannot take.

Ch 8: Exponents D) Rational Exponents

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.

GOAL: USE PROPERTIES OF RADICALS AND RATIONAL EXPONENTS Section 7-2: Properties of Rational Exponents.

Powers, Roots, & Radicals OBJECTIVE: To Evaluate and Simplify using properties of exponents and radicals.

Math 20-1 Chapter 5 Radical Expressions and Equations 5.2 Multiply and Divide Radicals Teacher Notes.

Chapter 9 Section 4 Dividing Square Roots. Learning Objective 1.Understand what it means for a square root to be simplified 2.Use the Quotient Rule to.

Rational Exponents Rules Examples Practice Problems.

7-2 Properties of Rational Exponents (Day 1) Objective: Ca State Standard 7.0: Students add, subtract, multiply, divide, reduce, and evaluate rational.

UNIT 4- radicals simplify a cube root and higher.

Rational Exponents. Rational Exponent  “Rational” relates to fractions  Rational exponents mean having a fraction as an exponent. Each part of the fraction.

Objectives: Students will be able to… Use properties of rational exponents to evaluate and simplify expressions Use properties of rational exponents to.

6-1 Radical Functions & Rational Exponents Unit Objectives: Simplify radical and rational exponent expressions Solve radical equations Solve rational exponent.

Chapter 7 – Powers, Roots, and Radicals 7.2 – Properties of Rational Exponents.

Simplifying Radical Expressions Objective: Add, subtract, multiply, divide, and simplify radical expressions.

7.4 Dividing Radical Expressions  Quotient Rules for Radicals  Simplifying Radical Expressions  Rationalizing Denominators, Part

 A radical expression is an expression with a square root  A radicand is the expression under the square root sign  We can NEVER have a radical in the.

5-5 ROOTS OF REAL NUMBERS Objective: Students will be able to simplify radicals.

Simplifying Radicals Algebra I Unit 1 D2. Perfect Squares

Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you simplify radical expressions?

 Warm-Up.  Homework Questions  EQ: How do we apply properties of rational exponents? Mastery demonstrated in writing in summary of notes and in practice.

Rational Exponents Algebra Fractional Exponents (Powers and Roots) “Exponent of the Radicand” “Index”

5.7 Rational Exponents Fraction Exponents.

Multiplying and Dividing Rational Expressions

Unit #2 Radicals.

Honors Algebra II with Trigonometry

Operations with Rational (Fraction) Exponents

7.2 – Rational Exponents The value of the numerator represents the power of the radicand. The value of the denominator represents the index or root of.

Rational Exponents.

5.7 Rational Exponents Fraction Exponents.

Fractional Expressions

3-8 Solving Radical equations

Fractional Expressions

7-5 Rational Exponents Fraction Exponents.

Honors Precalculus Adv. January 17, 2018 Mr. Agnew

Honors Precalculus October 24, 2017 Mr. Agnew

Objectives Rewrite radical expressions by using rational exponents.

5.7 Rational Exponents Fraction Exponents.

7.6 Rational Exponents.

5.7 Rational Exponents 1 Rules 2 Examples 3 Practice Problems.

5.2 Properties of Rational Exponents and Radicals

1.2 Multiply and Divide Radicals

3.2 (Green) Apply Properties of Rational Exponents

Exponents and radicals

Apply Properties of Rational Exponents

Honors Algebra II with Trigonometry Mr. Agnew

Honors Precalculus October 31, 2016 Mrs. Agnew

3.2 Apply Properties of Rational Exponents

Number Systems-Part 8.

10-1 Simplifying Radicals

Warm-Up Honors Algebra /16/19

Honors Algebra II with Trigonometry Mr. Agnew

Presentation transcript:

Honors Precalculus Adv. January 13, 2017 Mrs. Agnew radicals Honors Precalculus Adv. January 13, 2017 Mrs. Agnew

Essential Question Essential Vocabulary How do we simplify expressions containing radicals? Essential Vocabulary Radical expression Exponent Rationalize

Simplifying Radical Expressions Terminology: radical, principle root, index of radical, radicand Simplify by dividing index into exponents of variables Examples…

Rationalizing Expressions What does it mean to rationalize the denominator of an expression? Rationalizing the denominator means removing the radical from the denominator. Calculus requires us to also rationalize the numerator. Examples…

Examples: (Old Textbook) Page 23 – 25 #30 – 40 (E), 43, 46, 49, 50, 54 56, 62 – 64, 65(b), 66(a,c) Page 44 #60, 62, 64, 65, 68