SIMPLIFYING RADICAL EXPRESSIONS 1262022 11 36 PM Simplifying

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SIMPLIFYING RADICAL EXPRESSIONS 1/26/2022 11: 36 PM Simplifying Radical Expressions 1

SIMPLIFYING RADICAL EXPRESSIONS 1/26/2022 11: 36 PM Simplifying Radical Expressions 1

DEFINITIONS A. Square Roots are a number that when squared (multiplied by itself) is

DEFINITIONS A. Square Roots are a number that when squared (multiplied by itself) is equal to the given number B. Radicals are a way to symbolized a number being rooted 1/26/2022 11: 36 PM Simplifying Radical Expressions 2

REVIEW Identifying radicals Root Radical Sign Unless noted, we must assume the root is

REVIEW Identifying radicals Root Radical Sign Unless noted, we must assume the root is 2 1/26/2022 11: 36 PM Base Simplifying Radical Expressions 3

STEPS A. Identify the root and the base B. Breakdown the base to prime

STEPS A. Identify the root and the base B. Breakdown the base to prime and group them into roots OR perfect roots into radical form C. Combine all the same radicals D. Multiply the bases and radicals together 1/26/2022 11: 37 PM Simplifying Radical Expressions 4

EXAMPLE 1 Simplify √ 25 1/26/2022 11: 37 PM Simplifying Radical Expressions 5

EXAMPLE 1 Simplify √ 25 1/26/2022 11: 37 PM Simplifying Radical Expressions 5

EXAMPLE 2 Simplify √ 12 Identify the root and base Root 1/26/2022 11: 37

EXAMPLE 2 Simplify √ 12 Identify the root and base Root 1/26/2022 11: 37 PM Base Simplifying Radical Expressions 6

EXAMPLE 2 Simplify √ 12 1/26/2022 11: 37 PM Simplifying Radical Expressions 7

EXAMPLE 2 Simplify √ 12 1/26/2022 11: 37 PM Simplifying Radical Expressions 7

EXAMPLE 3 Simplify √ 48 Identify the root and base Root 1/26/2022 11: 37

EXAMPLE 3 Simplify √ 48 Identify the root and base Root 1/26/2022 11: 37 PM Base Simplifying Radical Expressions 8

EXAMPLE 3 Simplify √ 48 1/26/2022 11: 37 PM Simplifying Radical Expressions 9

EXAMPLE 3 Simplify √ 48 1/26/2022 11: 37 PM Simplifying Radical Expressions 9

YOUR TURN Simplify √ 200 1/26/2022 11: 37 PM Simplifying Radical Expressions 10

YOUR TURN Simplify √ 200 1/26/2022 11: 37 PM Simplifying Radical Expressions 10

EXAMPLE 4 1/26/2022 11: 37 PM Simplifying Radical Expressions 11

EXAMPLE 4 1/26/2022 11: 37 PM Simplifying Radical Expressions 11

EXAMPLE 5 Simplify Identify the root and base(s) Root Bases 1/26/2022 11: 37 PM

EXAMPLE 5 Simplify Identify the root and base(s) Root Bases 1/26/2022 11: 37 PM Simplifying Radical Expressions 12

EXAMPLE 5 Simplify Combine like terms if necessary and multiply. 1/26/2022 11: 37 PM

EXAMPLE 5 Simplify Combine like terms if necessary and multiply. 1/26/2022 11: 37 PM Simplifying Radical Expressions 13

YOUR TURN Simplify 1/26/2022 11: 37 PM Simplifying Radical Expressions 14

YOUR TURN Simplify 1/26/2022 11: 37 PM Simplifying Radical Expressions 14

RULES FOR MULTIPLYING RADICALS A. Reduce radicals to proper simplified form B. Multiply the

RULES FOR MULTIPLYING RADICALS A. Reduce radicals to proper simplified form B. Multiply the outside numbers and inside numbers C. Simplify, if needed 1/26/2022 11: 37 PM Simplifying Radical Expressions 15

EXAMPLE 6 Simplify √ 36 • √ 25 1/26/2022 11: 37 PM Simplifying Radical

EXAMPLE 6 Simplify √ 36 • √ 25 1/26/2022 11: 37 PM Simplifying Radical Expressions 16

EXAMPLE 7 Simplify √ 36 • √ 5 1/26/2022 11: 37 PM Simplifying Radical

EXAMPLE 7 Simplify √ 36 • √ 5 1/26/2022 11: 37 PM Simplifying Radical Expressions 17

EXAMPLE 8 Simplify √ 81 • 2√ 7 1/26/2022 11: 37 PM Simplifying Radical

EXAMPLE 8 Simplify √ 81 • 2√ 7 1/26/2022 11: 37 PM Simplifying Radical Expressions 18

YOUR TURN Simplify –√ 11 • √ 121 1/26/2022 11: 37 PM Simplifying Radical

YOUR TURN Simplify –√ 11 • √ 121 1/26/2022 11: 37 PM Simplifying Radical Expressions 19

EXAMPLE 9 Simplify 2√ 3 • 4√ 5 Can we simplify any of the

EXAMPLE 9 Simplify 2√ 3 • 4√ 5 Can we simplify any of the radicals? If not, multiply the bases together 1/26/2022 11: 37 PM Simplifying Radical Expressions 20

YOUR TURN Simplify √ 5 • 4√ 20 1/26/2022 11: 37 PM Simplifying Radical

YOUR TURN Simplify √ 5 • 4√ 20 1/26/2022 11: 37 PM Simplifying Radical Expressions 21

RATIONALIZING DENOMINATORS A. Rule is NO RADICALS IN THE DENOMINATOR B. Multiply the denominator

RATIONALIZING DENOMINATORS A. Rule is NO RADICALS IN THE DENOMINATOR B. Multiply the denominator to the numerator and denominator of the original fraction C. Simplify the expression 1/26/2022 11: 37 PM Simplifying Radical Expressions 22

EXAMPLE 10 1/26/2022 11: 37 PM Simplifying Radical Expressions 23

EXAMPLE 10 1/26/2022 11: 37 PM Simplifying Radical Expressions 23

EXAMPLE 11 1/26/2022 11: 37 PM Simplifying Radical Expressions 24

EXAMPLE 11 1/26/2022 11: 37 PM Simplifying Radical Expressions 24

YOUR TURN 1/26/2022 11: 37 PM Simplifying Radical Expressions 25

YOUR TURN 1/26/2022 11: 37 PM Simplifying Radical Expressions 25

ASSIGNMENT Worksheet 1/26/2022 11: 37 PM Simplifying Radical Expressions 26

ASSIGNMENT Worksheet 1/26/2022 11: 37 PM Simplifying Radical Expressions 26

RADICAL Are you a Radical RADICAL RADICAL StormsRADICAL Are you a Radical RADICAL RADICAL Storms
Simplifying Radical Expressions For a radical expression toSimplifying Radical Expressions For a radical expression to
Multiplying and Dividing Radical Expressions Binomial Radical ExpressionsMultiplying and Dividing Radical Expressions Binomial Radical Expressions
Algebra Operations with Radical Expressions Review Simplifying ExpressionsAlgebra Operations with Radical Expressions Review Simplifying Expressions
Simplifying Expressions T Madas Simplifying Expressions a aSimplifying Expressions T Madas Simplifying Expressions a a
Simplifying Expressions T Madas Simplifying Expressions a aSimplifying Expressions T Madas Simplifying Expressions a a
Simplifying Expressions Simplifying Expressions Definitions Simplify to reduceSimplifying Expressions Simplifying Expressions Definitions Simplify to reduce
Simplifying Expressions Algebraic Expressions Evaluating Expressions Technical ApplicationsSimplifying Expressions Algebraic Expressions Evaluating Expressions Technical Applications
Simplifying Expressions Algebraic Expressions Evaluating Expressions Technical ApplicationsSimplifying Expressions Algebraic Expressions Evaluating Expressions Technical Applications
Rational Expressions Simplifying Rational Expressions Rational Expressions RationalRational Expressions Simplifying Rational Expressions Rational Expressions Rational
Expressions Expressions Simplifying expressions means to combine likeExpressions Expressions Simplifying expressions means to combine like
1262022 Programme de technologie en 6me 1 12620221262022 Programme de technologie en 6me 1 1262022
Radical Reconstruction Radical Reconstruction Period when Radical RepublicansRadical Reconstruction Radical Reconstruction Period when Radical Republicans
RADICAL Becoming Radical RADICAL Our lives could becomeRADICAL Becoming Radical RADICAL Our lives could become
Radicals Simplifying What is a radical A radicalRadicals Simplifying What is a radical A radical
Simplifying a Radical Review Simplify each radical andSimplifying a Radical Review Simplify each radical and
Simplifying When simplifying a radical expression find theSimplifying When simplifying a radical expression find the
11 6 Radical 11 6 Radical Expressions Warm11 6 Radical 11 6 Radical Expressions Warm
Topic Radical Expressions Essential Question How are radicalTopic Radical Expressions Essential Question How are radical
Jeopardy Simplify Radicals Simplify Radical Expressions Solve RadicalJeopardy Simplify Radicals Simplify Radical Expressions Solve Radical
Radical Review Simplify radical expressions Rationalize fractions withRadical Review Simplify radical expressions Rationalize fractions with
Topic Radical Expressions Essential Question How are radicalTopic Radical Expressions Essential Question How are radical
Radical Expressions Radicals p Radical Expression An expressionRadical Expressions Radicals p Radical Expression An expression
Math 8 H 10 1 Simplifying Radical ExpressionsMath 8 H 10 1 Simplifying Radical Expressions