4 minutes Warm-Up Simplify 1) 2) 3) For what values of x is real?

Slides:

Advertisements

Similar presentations

Critical Thinking Skill: Demonstrate Understanding of Concepts

Advertisements

Notes Over 9.2 Solving Quadratic Equations Solve the equation or write no real solution. Write the solutions as integers if possible. Otherwise, write.

6-5: Operations with Radical Expressions I can add or subtract expressions involving radicals.

Square Roots a is a square root of b if and only if Example 1 3 is a square root of 9, since - 3 is also a square root of 9, since Thus, 9 has two square.

Simplifying Radicals.

Unit 2 – Quadratic, Polynomial, and Radical Equations and Inequalities

7.2b Warm-Up Simplify: 3 3 ● ● x5y5 ● 3 2x7y x12y11

11-3 Simplifying Radical Expressions Standard 2.0 One Property.

9.2 Students will be able to use properties of radicals to simplify radicals. Warm-Up  Practice Page 507 – 508 l 41, 42, 45, 46, 55, 57, 59, 65.

§ 7.2 Radical Expressions and Functions. Tobey & Slater, Intermediate Algebra, 5e - Slide #2 Square Roots The square root of a number is a value that.

1 Algebra 2: Section 7.2 Properties of Rational Exponents (Day 1)

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

Section 7.2 So far, we have only worked with integer exponents. In this section, we extend exponents to rational numbers as a shorthand notation when using.

7.2 Properties of Rational Exponents 3/4/2013. Example 1 Use Properties of Rational Exponents a. 6 2/3 6 1/3 = 6 (2/3 + 1/3) = 6 3/3 = 6161 = 6 b. (3.

Simplifying Radical Expressions Introduction to Square Roots.

TODAY IN CALCULUS…  Warm Up: Review simplifying radicals  Learning Targets :  You will use special products and factorization techniques to factor polynomials.

Warm-Up Exercises Find the exact value. ANSWER – 144 ANSWER 12 – Use a calculator to approximate the value of to the nearest tenth

Chapter Rational Exponents.

Cube Roots a is a cube root of b if and only if Example 1 2 is a cube root of 8, since - 2 is a cube root of - 8, since.

Chapter 10.5 Notes Part I: Simplify Radical Expressions Goal: You will simplify radical expressions.

Warm-up Simplify each expression

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

Warm - up Simplify Essential Questions: (1). How do I multiply radical expressions:

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

WARM - UP Evaluate: log 3 81 Solve for x: log5 (2x+3) = log5 (4x -3)

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.

CHAPTER 7 SECTION 1 ROOTS AND RADICAL EXPRESSIONS Algebra 2 Notes ~ April 10, 2009.

Roots of Real Numbers Definitions Simplifying Radicals

Multiplication Property of Radicals Let a and b represent real numbers such that and are both real. Then,

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

11-1 Simplifying Radical Expressions. Product Properties for Radicals For any nonnegative real numbers x and y. a. b.

EXAMPLE 3 Use properties of radicals Use the properties of radicals to simplify the expression. a =216 3 = =6 Product property b

Simplify Radical Expressions Using Properties of Radicals.

 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.

Warm-Up Solve each equation by factoring. 1) x x + 36 = 02) 2x 2 + 5x = 12.

Algebra 2 Lesson 7-2 (Page 368) ALGEBRA 2 LESSON 7-2 Multiplying and Dividing Radical Expressions 7-2.

Sections 8.1 and 8.2 Radical Expressions Rational Exponents.

4.3 Rational Exponents 2/1/2013. Cube Root Perfect Cube 1 = = = = = 5 3.

Solving Radical Equations Section 12.3 September 27, 2016September 27, 2016September 27, 2016.

7.2a Warm-Up = 52(?) 2. x5 = (?)2(x) 3. 3a3b4 = (?)3(3b) 6 ab

Simplify Radical Expressions Using Properties of Radicals

6-1 Radical Functions & Rational Exponents

Exercise Simplify – 22. – 4.

Solving by factoring & taking square roots

Aim: How Do We Simplify Radicals?

Section 10.2 Rational Exponents.

Review Problems Algebra 1 11-R.

Warm Up 1.) List all of the perfect squares up to The first three are done below. 1, 4, 9,… Using a calculator, evaluate which expressions are.

7.3 – Multiplying and Simplifying Radical Expressions

Solving Radical Equations

Solving Radical Equations

4 minutes Warm-Up Identify each transformation of the parent function f(x) = x2. 1) f(x) = x ) f(x) = (x + 5)2 3) f(x) = 5x2 4) f(x) = -5x2 5)

Exponents & Radicals Day 3

13.4 Rational Exponents.

Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.

Solving Equations using Quadratic Techniques

Radicals and Radical Functions

Skills Check Solve by Factoring and Square Roots

Roots and Radical Expressions

Secondary 3 Essentials Clark

Questions over HW?. Skills Check Radical Operations and Solving by Square Roots after HW Check.

Chapter 8 Section 2.

Apply Properties of Rational Exponents

Radicals and Radical Functions

5-6 Simplifying Radical Expressions

Square Roots Holt Algebra 1.

Algebra 1 Section 12.2.

Warm Up Identify the perfect square in each set.

Warm UP Simplify .

Roots, Radicals, and Root Functions

Presentation transcript:

4 minutes Warm-Up Simplify 1) 2) 3) For what values of x is real?

11.3 Simplifying Radical Expressions Objectives: To simplify radical expressions

Taking a Dive Sean is vacationing in the Bahamas and decides to go skydiving. He jumps from a plane 1,600 feet in the air. When there is no air resistance you can determine the time, t, in seconds, it takes a skydiver to reach the ocean by using the formula t = , where h is the distance the skydiver falls. How long will it take for the Sean to reach the ocean?

Product Property for Radicals So, For any nonnegative real numbers a and b,

Example 1 Simplify .

Example 2 Simplify .

Example 3 Simplify .

Example 4 Simplify .

Practice Simplify. 1) 2) 3)

Example 5 Simplify .

Example 6 Simplify .

Practice Simplify. 1) 2) 3)

Cube Roots since 23 = 8 since -23 = -8

Example 7 Simplify .

Homework p.493 #3,7,11,13,17,21,23,27,31,35,39 p.494 #3,7,11,15