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.

Slides:

Advertisements

Similar presentations

Simplifying Radicals. Perfect Squares Perfect Cubes

Advertisements

Section P3 Radicals and Rational Exponents

11-1: Simplifying Radicals

Simplifying Radicals.

RADICAL EXPRESSIONS.

11-2: Operations with Radical Expressions

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.

Essential Question: Explain the meaning of using radical expressions.

Write out on the board how to do them using radicals!!! The PP has how to solve using powers….you show how to use radicals!!! 1.

11.1 Simplifying Radical Expressions

11.3 Simplifying Radicals Simplifying Radical Expressions.

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

Warm-Up #5 Find the product of ab. Let a= 1 2

Objective: Add, subtract and multiplying radical expressions; re-write rational exponents in radical form. Essential Question: What rules apply for adding,

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

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

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.

Warm up # (-24) =4.) 2.5(-26) = 2-7(-8)(-3) = 5.) -5(9)(-2) = 3.

10/24/ Simplifying, Multiplying and Dividing Rational Expressions.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

Lesson 8-6B Use Cube Roots and Fractional Exponents After today’s lesson, you should be able to evaluate cube roots and simplify expressions with fractional.

Simplifying Radicals. Perfect Squares

Radicals Simplify radical expressions using the properties of radicals

Exponents and Radicals Objective: To review rules and properties of exponents and radicals.

Ch 8: Exponents D) Rational Exponents

Section 9.4 Combining Operations and Simplifying Complex Rational Expressions.

Conjugate of Denominator

Copyright © Cengage Learning. All rights reserved. 8 Radical Functions.

Copyright © 2015, 2011, 2007 Pearson Education, Inc. 1 1 Chapter 8 Rational Exponents, Radicals, and Complex Numbers.

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

Vocabulary Unit 4 Section 1:

P. 3 Radicals and Rational Exponents Q: What is a radical

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

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

Radicals (Square Roots). = 11 = 4 = 5 = 10 = 12 = 6 = 7 = 8 = 9 = 2.

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

Lesson 6.2 Radicals and Rational Exponents Topic/ Objectives To find nth roots To evaluate expressions with rational exponents EQ: How do you write the.

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

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

A or of radicals can be simplified using the following rules. 1. Simplify each in the sum. 2. Then, combine radical terms containing the same and. sumdifference.

Simplifying Radicals Algebra I Unit 1 D2. Perfect Squares

Algebra 2 Multiplying, Dividing, Rationalizing and Simplifying… Section 7-2.

Splash Screen Unit 6 Exponents and Radicals. Splash Screen Essential Question: How do you evaluate expressions involving rational exponents?

Chapter R Section 7: Radical Notation and Rational Exponents

12.1 Rational Exponents 12.2 Simplifying Radicals.

Ch. 7.4 Rational Exponents p Rational Exponents If the nth root of a is a real number and m is an integer, then: and If m is negative, a ≠ 0.

FIND SQUARE ROOTS PERFORM OPERATIONS WITH PURE IMAGINARY NUMBERS. PERFORM OPERATIONS WITH COMPLEX NUMBERS. 5.4 Complex Numbers.

7.1 – Radicals Radical Expressions

Exponent Rules Math 2.

Unit #2 Radicals.

Honors Algebra II with Trigonometry

Multiplying and Dividing Rational Expressions

Rational Exponents Simplifying Radical Expressions

Radical Operations Unit 4-3.

How would we simplify this expression?

Unit 3B Radical Expressions and Rational Exponents

Radicals Radical Expressions

Example 1: Finding Real Roots

Objectives Rewrite radical expressions by using rational exponents.

1.4 Rational Exponents.

5.2 Properties of Rational Exponents and Radicals

7.1 – Radicals Radical Expressions

Section 7.2 Rational Exponents

Algebra 2 Ch.7 Notes Page 47 P Multiplying and Dividing Radical Expressions.

10-1 Simplifying Radicals

Dividing Radical Expressions

7.1 – Radicals Radical Expressions

Presentation transcript:

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.

7-2: Multiplying and Dividing Radical Expressions If two terms share the same type of radical, the numbers underneath can be multiplied together.

7-2: Multiplying and Dividing Radical Expressions Your turn: Multiply. Simplify, if possible.

7-2: Multiplying and Dividing Radical Expressions Simplifying Radical Expressions (radicals that contain variables) works the same way as simplifying square roots. Alternately: Use factor trees to simplify numbers underneath roots and the rules of exponent division to simplify variables underneath roots.

7-2: Multiplying and Dividing Radical Expressions Your turn: Simplify. Assume all variables are positive.

7-2: Multiplying and Dividing Radical Expressions To multiply radical expressions, multiply terms underneath the radical, then simplify

7-2: Multiplying and Dividing Radical Expressions Your turn Multiply and simplify. Assume all variables are positive.

7-2: Multiplying and Dividing Radical Expressions Assignment Page 377 1 – 22 (all problems)

Unit: Radical Functions 7-2: Multiplying and Dividing Radical Expressions (Day 2) Essential Question: Describe how to multiply and divide two nth roots, both of which are real numbers.

7-2: Multiplying and Dividing Radical Expressions Dividing has the same limitations as multiplying: if two terms share the same type of radical, they can be combined and then simplified.

7-2: Multiplying and Dividing Radical Expressions Your turn: Divide and simplify. Assume all variables are positive.

7-2: Multiplying and Dividing Radical Expressions Rationalizing the Denominator Rationalizing means to rewrite a problem so there are no root symbols in the denominator of a fraction. After dividing (if possible), multiply the numerator and denominator by whatever root remains on the denominator. Examples using square roots:

7-2: Multiplying and Dividing Radical Expressions Your turn: Rationalize the denominator.

7-2: Multiplying and Dividing Radical Expressions Rationalizing the Denominator Rationalizing means to rewrite a problem so there are no root symbols in the denominator of a fraction. Example using a cube root:

7-2: Multiplying and Dividing Radical Expressions Your turn: Rationalize the denominator.

7-2: Multiplying and Dividing Radical Expressions Assignment Page 377 23 – 34 (all problems)