January 10, 2012 At the end of today, you will be able to simplify radical expressions by using multiplication and addition. Warm-up: Simplify. 1. 2.

Slides:

Advertisements

Similar presentations

Simplify, Add, Subtract, Multiply and Divide

Advertisements

Warm Up Simplify each expression

1-3 Square Roots Warm Up Lesson Presentation Lesson Quiz

Section P3 Radicals and Rational Exponents

6.4 Addition, Subtraction, and more multiplication.

Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression following the division.

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

1.Be able to divide polynomials 2.Be able to simplify expressions involving powers of monomials by applying the division properties of powers.

Operations: Add, Subtract, Multiply, Divide

TODAY IN ALGEBRA…  Warm Up: Simplifying Powers  Learning Target: 8.2 You will use properties of exponents involving quotients  Independent Practice/Test.

The quiz is on the next slide. The quiz will begin once everyone is seated and quiet with a blank piece of paper and something to write with. ALGEBRA.

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.

Monomials Multiplying Monomials and Raising Monomials to Powers.

WARM UP POWER OF A PRODUCT Simplify the expression. 1.(3x) 4 2.(-5x) 3 3.(xy) 6 4.(8xy) 2 4.

R8 Radicals and Rational Exponent s. Radical Notation n is called the index number a is called the radicand.

Including Rationalizing The Denominators. Warm Up Simplify each expression

Algebra 11.7 Dividing Polynomials. 9x² 3x 18 3x 12x 3x Dividing a Polynomial by a Monomial Divide 9x² + 12x – 18 by 3x 9x² + 12x – 18 3x =

3.10 Warm Up Do # 4, 8, & 12 on pg. 268 Do # 4, 8, & 12 on pg. 268.

Radicals Simplify radical expressions using the properties of radicals

SWBAT…simplify radicals using the product property of radicalsWed, 3/14 Agenda 1. WU (10 min) 2. Lesson on product property of radicals – 13 examples!

Table of Contents Dividing Rational Expressions Use the following steps to divide rational expressions. 1.Take the reciprocal of the rational expression.

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

Warm Up: 1)2). 5.2 Notes: Properties of Rational Exponents and Radicals.

3.4 Simplify Radical Expressions PRODUCT PROPERTY OF RADICALS Words The square root of a product equals the _______ of the ______ ______ of the factors.

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

Simplify Radical Expressions Using Properties of Radicals.

3.4 Simplify Radical Expressions

 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.

Angel, Intermediate Algebra, 7ed 1 Aim: How do we simplify exponential expressions? Do Now: Simplify 1) 3⁴ 2) 2 · 3³ 3) 10 · 3² HW # 10 Chapter 7 pg 289.

Sections 8.3 and 8.4 Simplifying Radicals Adding and Subtracting Radicals.

LESSON 12.1 OBJECTIVE: IDENTIFY OR ESTIMATE SQUARE ROOTS, DEFINE AND WRITE SQUARE ROOTS IN SIMPLEST RADICAL FORM. Simplifying Radicals.

Radicals. Parts of a Radical Radical Symbol: the symbol √ or indicating extraction of a root of the quantity that follows it Radicand: the quantity under.

Add ___ to each side. Example 1 Solve a radical equation Solve Write original equation. 3.5 Solve Radical Equations Solution Divide each side by ___.

Warm Up Simplify each expression

Roots, Radicals, and Complex Numbers

Distributive Property Multiply and Divide polynomials by a constant worksheet.

Multiplying and Dividing Radial Expressions 11-8

Radical Expressions and Rational Exponents

Warm-Up: HW #5: Simplifying radicals Agenda WU (10 min)

Unit 4: Coordinate Geometry

Simplify Radical Expressions Using Properties of Radicals

Radical Expressions Finding a root of a number is the inverse operation of raising a number to a power. radical sign index radicand This symbol is the.

Multiplying Radicals.

Warm-up: Simplify. (y5 + 32)(y + 2)-1 2.

Adding, Subtracting, and Multiplying Radical Expressions

Warm-up: Correct HW 5.6b HW 5.9: Pg. 274 #18-29 all, 83, 84

Dividing Monomials.

Division Properties Of Exponents.

Accentuate the Negative

Adding, Subtracting, and Multiplying Radical Expressions

Warm Up Simplify each expression

Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.

Reading and Writing Algebraic Expressions

Simplify Radical Expressions

Simplifying Rational Expressions

12.2 Operations with Radical Expressions √

Objective The student will be able to:

Operations with Radical Expressions √

Dividing Monomials.

Warm Up Simplify 1)

Division Properties Of Exponents.

Multiply and divide Expressions

Multiplying and Dividing Radical Expressions

10-1 Simplifying Radicals

Adding, Subtracting, and Multiplying Radical Expressions

Warm-ups: Simplify the following

Warm Up Identify the perfect square in each set.

Adding, Subtracting, and Multiplying Radical Expressions

Division Properties Of Exponents.

Presentation transcript:

January 10, 2012 At the end of today, you will be able to simplify radical expressions by using multiplication and addition. Warm-up: Simplify. 1. 2. 3. 4. 5. QUIZ 5.2 TODAY! HW 5.6: Pg. 254 #15-23, 35-38 all

Correct HW 5.7 #1-20 1. 8. 15. 729 2. 9. 2 16. 8/27 3. 10. 3 17. c3 4. 11. 1/3 18. m2 5. 12. 1/2 19. 6. 13. 64 20. 7. 14. 81

Properties of Radicals Product Property: Example: Quotient Property:

Simplifying Radicals that aren’t perfect “Ms. PD has another way to simplify radicals using prime numbers, ask her!” A prime number is a natural number greater than 1 that is only divisible by 1 and itself. Example 1: Simplify: 1. Rewrite as two radicals (one of them a square) Drake: “Think of two numbers, one of them a square#, multiplied to give you 40.”

More simplifying radicals that aren’t perfect… 1a. b. C. 2. 3. For variables, divide the power by the index. If there is a remainder, it stays in the radical sign.

Like Radical Expressions You can add and subtract radicals if they have the same number under the radical. For example: Simplify: First, simplify the radicals to get like radicals.