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

Slides:

Advertisements

Similar presentations

Simplify Radical Expressions

Advertisements

Simplify, Add, Subtract, Multiply and Divide

Warm Up Simplify each expression

1-3 Square Roots Warm Up Lesson Presentation Lesson Quiz

Section P3 Radicals and Rational Exponents

Multiplying and Dividing Radial Expressions 11-8

7.1 – Radicals Radical Expressions

Objectives Multiply and divide radical expressions.

Multiplying and Dividing Radial Expressions 11-8

Identify the perfect square in each set , 81, 27, , 99, 8, , 84, 12, , 216, 196, 72 Find the Prime Factorization of.

Appendix:A.2 Exponents and radicals. Integer Exponents exponent base.

Section 1.4 Rational Expressions

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.

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

 Multiply rational expressions.  Use the same properties to multiply and divide rational expressions as you would with numerical fractions.

Unit 2 Algebra Investigations Lesson 3: Rational and Radical Expressions Notes 3.4: Simplify Radical Expressions.

5.6.1 – Square Root Method. Recall, we solved “quadratic equations” when we set a polynomial equation equal to 0 Example. x 2 + 5x + 6 = 0.

Simplify Radical Expressions. EQs…  How do we simplify algebraic and numeric expressions involving square root?  How do we perform operations with square.

5.6 Solving Quadratic Function By Finding Square Roots 12/14/2012.

Including Rationalizing The Denominators. Warm Up Simplify each expression

Sullivan Algebra and Trigonometry: Section R.7 Rational Expressions

Add & Subtract Rationals – Common Denominator To add or subtract rational expressions with common denominators: 1) Add or subtract the numerators 2) Write.

12.2 Operations with Radical Expressions √

4.1 Properties of Exponents

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

Find the exact value. 1.) √49 2.) - √ Use a calculator to approximate the value of √(82/16) to the nearest tenth.

Fricovsky 4.5: Do Now: Simplify. 1.

Conjugate of Denominator

Conjugate: Value or that is multiplied to a radical expression That clears the radical. Rationalizing: Removing a radical expression from the denominator.

§ 7.4 Adding, Subtracting, and Dividing Radical Expressions.

Chapter 11 Sec 1 Simplifying Radical Expressions.

6.2A- Operations for Fractions Adding & Subtracting – Create a COMMON DENOMINATOR – ADD or SUBTRACT 2 TOPS (Numerators) – KEEP the common denominator (bottom)

Advanced Algebra Notes Section 4.5: Simplifying Radicals (A) A number r is a _____________ of a number x if. The number r is a factor that is used twice.

How do I use the imaginary unit i to write complex numbers?

Holt Algebra Multiplying and Dividing Radical Expressions Warm Up(On Separate Sheet) Simplify each expression

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

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.

7.5 Operations with Radical Expressions. Review of Properties of Radicals Product Property If all parts of the radicand are positive- separate each part.

3.9 Mult/Divide Rational Expressions Example 1 Multiply rational expressions involving polynomials Find the product. Multiply numerators and denominators.

Section 5-4 The Irrational Numbers Objectives: Define irrational numbers Simplify radicals Add, subtract, multiply, and divide square roots Rationalize.

7.2 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.

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

Multiplying and Dividing Radial Expressions 11-8

Operations With Radical Expressions

Multiplying and Dividing Radial Expressions 11-8

EQ: How do I simplify and perform operations with radical functions?

Use Properties of Radicals to simplify radicals.

Do-Now: Simplify (using calculator)

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.

3.4 Notes Irrational Numbers.

Simplifying Radical Expressions

Multiplying and Dividing Radial Expressions 11-8

12.1 Operations with Radicals

Radical Expressions.

Mult/Divide Rational Expressions

Simplify Radical Expressions

12.2 Operations with Radical Expressions √

Warmup Find the exact value. 1. √49 2. –√144.

5.2 Properties of Rational Exponents and Radicals

Operations with Radical Expressions √

Simplify Radicals.

Warm Up Simplify 1)

The radicand can have no perfect square factors (except 1)

10-1 Simplifying Radicals

Chapter 8 Section 4.

Dividing Radical Expressions

Presentation transcript:

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

Example 1 Use the product property of radicals Simplify. Simplify. _______ _________ of radicals. Product property Factor using perfect square factors. 3.4 Simplify Radical Expressions

Example 2 Multiply radicals 3.4 Simplify Radical Expressions

3.4 Simplify Radical Expressions QUOTIENT PROPERTY OF RADICALS Words The square root of a quotient equals the _______ of the ______ ______ of the numerator and denominator. quotient square roots Algebra Example

Example 3 Use the quotient property of radicals Simplify. _______ _________ of radicals. Quotient property 3.4 Simplify Radical ExpressionsSimplify. _______ _________ of radicals. Quotient property

3.4 Simplify Radical Expressions Checkpoint. Simplify the expression.

Example 4 Rationalize the denominator Multiply by. 3.4 Simplify Radical ExpressionsSimplify. Product property of radicals.

Example 4 Rationalize the denominator Multiply by 3.4 Simplify Radical ExpressionsSimplify. Multiply.

Example 5 Add and subtract radicals Factor using perfect square factor. 3.4 Simplify Radical ExpressionsSimplify. Product property of radicals. Simplify.

Example 5 Add and subtract radicals Factor using perfect square factor. 3.4 Simplify Radical ExpressionsSimplify. Product property of radicals. Simplify.

3.4 Simplify Radical Expressions Checkpoint. Simplify the expression.

3.4 Simplify Radical Expressions Pg. 154, 3.4 #1 – 27