Section 2.5 Operations with Radicals

Slides:

Advertisements

Similar presentations

Operations with Complex Numbers

Advertisements

Unit: Radical Functions 7-3: Binomial Radical Expressions

Adding and Subtracting Fractions with Like Denominators.

Homework Solution lesson 8.5

Binomial Radical Expressions

Simplifying Radicals.

7.3 – Binomial Radical Expressions. I. Adding and Subtracting Radical Expressions  Like Radicals – radicals that have the same radicand and index. 

Chapter 6 Radical Functions and Rational Exponents.

Adding and Subtracting Mixed Numbers Objective: Learn to add and subtract mixed numbers.

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.

9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial of a polynomial.

R Review of Basic Concepts © 2008 Pearson Addison-Wesley. All rights reserved Sections R.5–R.7.

8.4: Do Now: Multiply the expression. Simplify the result.

Section 9-3a Multiplying and Dividing Rational Expressions.

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.

Copyright © 2012, 2009, 2005, 2002 Pearson Education, Inc. Chapter 2 Fractions.

Adding & Subtracting Whole Number and Fractions

Simplifying Radicals Section 5.3. Radicals Definition Simplifying Adding/Subtracting Multiplying Dividing Rationalizing the denominator.

Introduction to Complex Numbers Adding, Subtracting, Multiplying And Dividing Complex Numbers SPI Describe any number in the complex number system.

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.

What is Combining Like Terms?  Lets break it down  Combining-To put together  Like- Similar  Terms- Numbers or letters that are separated by an operational.

Multiplying and Dividing Radicals The product and quotient properties of square roots can be used to multiply and divide radicals, because: and. Example.

Copyright © Cengage Learning. All rights reserved. Roots, Radical Expressions, and Radical Equations 8.

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

Complex Numbers warm up 4 Solve the following Complex Numbers Any number in form a+bi, where a and b are real numbers and i is imaginary. What is an.

To divide radicals: divide the coefficients divide the radicands if possible rationalize the denominator so that no radical remains in the denominator.

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

Fill In The Blank Multiplying Fractions 1. Fraction Form 2. Multiply Numerators Simplify.

Algebraic Fractions Section 0.6

Adding & Subtracting Fractions With Like Denominators.

Slide Copyright © 2012 Pearson Education, Inc.

Fractional Expressions Section 1.4. Objectives Simplify fractional expressions. Multiply and divide fractional expressions. Add and subtract fractional.

5.6 Radical Expressions Objectives: 1.Simplify radical expressions. 2.Add, subtract, multiply and divide radical expressions.

Introduction to Complex Numbers Adding, Subtracting, Multiplying And Dividing Complex Numbers SPI Describe any number in the complex number system.

Section 2.4 – The Complex Numbers. The Complex Number i Express the number in terms of i.

Chapter 5 Radical Expressions and Equations

Adding and Subtracting Rational Expressions

Radical Expressions and Rational Exponents

Multiplying and Dividing Radical Expressions

Dividing Radical Expressions.

Simplifying Radical Expressions.

Section 5.2 Multiplying, Dividing, and Rationalizing Radicals:

Section 6.1 Simplifying Rational Expressions and NPV’s

Multiplying Binomial Radial Expressions and Rationalizing with Conjugates. MA.912.A.6.2 Add, subtract, multiply, and divide radical expressions (Square.

Simplifying Radical Expressions.

Simplifying Radical Expressions.

Section 6.3 Adding and Subtracting Rational Expressions

Section 6.2 Multiplying and Dividing Rational Expressions

Simplify Radical Expressions

Math 9 Honours Section 4.1 Multiplying & Dividing Polynomials

Simplifying Radical Expressions.

Passport to Advanced Mathematics Lessons 1-2

Algebra JEOPARDY Jeopardy!.

Adding and Subtracting Rational Numbers

Operations with Radicals

Section 2.2 Zero and Negative Exponents

Section 8.2 – Adding and Subtracting Rational Expressions

Order of Operations.

Warm Up Simplify 1)

Dividing Radicals To divide radicals: divide the coefficients, divide the radicands if possible, and rationalize the denominator so that no radical remains.

11.1b Rationalizing Denominators

Section 5.1 Basics with Radicals

Warm-ups: Simplify the following

Section 2.6 Rationalizing Radicals

Binomial Radical Expressions

Dividing Radical Expressions

Simplifying Radical Expressions.

Roots, Radicals, and Root Functions

Presentation transcript:

Section 2.5 Operations with Radicals © Copyright all rights reserved to Homework depot: www.BCMath.ca

Review: What are Radicals? Radicals are integers with exponents that are fractions When multiplying two powers with the same base, you add the exponents © Copyright all rights reserved to Homework depot: www.BCMath.ca

Multiplying Radicals The product of two similar radicals will become a whole number Numbers outside stay outside, inside stay inside Ex: Simplify the following © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice: Multiply the radicals © Copyright all rights reserved to Homework depot: www.BCMath.ca

Ex: Arrange the following from least to greatest: Convert each mixed radical to complete radicals © Copyright all rights reserved to Homework depot: www.BCMath.ca

Practice: Simplify the Following © Copyright all rights reserved to Homework depot: www.BCMath.ca

Dividing Radicals: When dividing radicals, simplify by dividing the numbers outside the radical together, and then the numbers inside. Never leave a radical in the denominator. Rationalize by multiplying both the numerator and denominator be the radical in the denominator © Copyright all rights reserved to Homework depot: www.BCMath.ca

Ex: Rationalize the following © Copyright all rights reserved to Homework depot: www.BCMath.ca

Adding & Subtracting Radicals You can only add two polynomials if they are like terms Likewise, you can only add or subtract two radicals if they are “like radicals” Simplify a radical if the number inside the radical sign becomes the same © Copyright all rights reserved to Homework depot: www.BCMath.ca

Simplify the following: © Copyright all rights reserved to Homework depot: www.BCMath.ca

II) Conjugates Multiplying a binomial with it’s conjugate will eliminate all the radicals © Copyright all rights reserved to Homework depot: www.BCMath.ca

Homework: © Copyright all rights reserved to Homework depot: www.BCMath.ca