Simplify – No negative exponents. Binomial Radical Expressions I can add and subtract radical expressions.

Slides:



Advertisements
Similar presentations
Section 7.3 Addition, Subtraction, Multiplication & Division with
Advertisements

Radicals.
Simplifying Radical Expressions Product Property of Radicals For any numbers a and b where and,
Section P3 Radicals and Rational Exponents
5.6 Radical Expressions Rationalizing the denominator Like radical expressions Conjugates.
Binomial Radical Expressions
7.1 – Radicals Radical Expressions
11-2: Operations with Radical Expressions
7.3 – Binomial Radical Expressions. I. Adding and Subtracting Radical Expressions  Like Radicals – radicals that have the same radicand and index. 
7.1/7.2 Nth Roots and Rational Exponents
Chapter 6 Radical Functions and Rational Exponents.
Radical Operations Adding & Subtracting Radicals 1Copyright (c) 2011 by Lynda Greene Aguirre.
Simplifying When simplifying a radical expression, find the factors that are to the nth powers of the radicand and then use the Product Property of Radicals.
Properties and Rules for Exponents Properties and Rules for Radicals
5.5 Roots of Real Numbers and Radical Expressions.
Properties of Rational Exponents Lesson 7.2 Goal: Use properties of radicals and rational exponents.
Objectives The student will be able to: 1. simplify square roots, and 2. simplify radical expressions.
In order to add or subtract radicals: All radicals must be simplified. Then, you combine “like” terms. Square-root expressions with the same radicand.
6.3 Binomial Radical Expressions P You can only use this property if the indexes AND the radicands are the same. This is just combining like terms.
12.2 Operations with Radical Expressions √
Multiplying and Dividing Radicals The product and quotient properties of square roots can be used to multiply and divide radicals, because: and. Example.
Properties and Rules for Radicals Principal square root of a Negative square root of a Cube root of a nth root of a nth root of a n if n is an even and.
Complex Number System Adding, Subtracting, Multiplying and Dividing Complex Numbers Simplify powers of i.
EQ: How are properties of exponents used to simplify radicals? What is the process for adding and subtracting radicals?
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.
7.3 Binomial Radical Expressions. Review Example.
7-2 Properties of Rational Exponents (Day 1) Objective: Ca State Standard 7.0: Students add, subtract, multiply, divide, reduce, and evaluate rational.
§ 7.4 Adding, Subtracting, and Dividing Radical Expressions.
7.3 Binomial Radical Expressions (Day 1). Like Terms/Radicals Like radicals - radical expressions that have the same index and the same radicand When.
Radicals Computing with Radicals Target Goals : Add, subtract, multiply, and divide radical expressions.
Slide Copyright © 2012 Pearson Education, Inc.
5.6 Radical Expressions Objectives: 1.Simplify radical expressions. 2.Add, subtract, multiply and divide radical expressions.
Chapter R Section 7: Radical Notation and Rational Exponents
Warm Up Simplify each expression
Operations With Radical Expressions
7.1 – Radicals Radical Expressions
Multiplying and Dividing Radical Expressions
Simplifying Radical Expressions
Adding, Subtracting, and Multiplying Radical Expressions
6.3 Binomial Radical Expressions
Honors Algebra II with Trigonometry
Radical Functions Unit 3.
Complex Numbers Objectives Students will learn:
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.
Adding, Subtracting, and Multiplying Radical Expressions
Adding, Subtracting, and Multiplying Radical Expressions
Simplifying Radical Expressions
Unit 3B Radical Expressions and Rational Exponents
Dividing Radical Expressions.
Radicals Radical Expressions
Adding, Subtracting, and Multiplying Radical Expressions
Simplifying Radical Expressions
Unit 1 Algebra 2 CP Radicals.
Simplifying Radical Expressions.
12.2 Operations with Radical Expressions √
5.2 Properties of Rational Exponents and Radicals
Simplifying and Rationalizing
7.1 – Radicals Radical Expressions
Operations with Radical Expressions √
Warm Up Simplify 1)
Multiplying and Dividing Radical Expressions
Simplifying Radical Expressions
Adding, Subtracting, and Multiplying Radical Expressions
Binomial Radical Expressions
Binomial Radical Expressions
Dividing Radical Expressions
Simplifying Radical Expressions
Adding, Subtracting, and Multiplying Radical Expressions
7.1 – Radicals Radical Expressions
Presentation transcript:

Simplify – No negative exponents

Binomial Radical Expressions I can add and subtract radical expressions

Like Radicals  Have the same index and the same radicand.  Examples Can’t be done!

Adding and Subtracting Radical Expressions  To add and subtract like radicals, use the Distributive Property.  Examples Can’t be added, not like radicands

Simplifying Before Adding or Subtracting *Simplify the radical, then add or subtract

RADICAL EXPRESSIONS EX-adding RULES –Have to have same number on inside –Have to have same nth root

Multiplying Binomial Radical Expressions  Use FOIL to multiply First Outer Inner Last

II. Multiplying and Dividing Radicals  When multiplying radicals, use the FOIL method, then simplify For Example; (2 + 2√5)(4 + 6√5) √5 + 8√5 + 12√ √5 + 12(5) √ √5

Try this… a. b. c. 9 d. 3

Conjugates  Expressions such as and that differ in only the sign of the second term.

Assignment  P. 378 #12-36 by 3’s and by 3’s  Challenge - #66