CCGPS Geometry (12-5-13) UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s.

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Presentation transcript:

CCGPS Geometry ( ) UNIT QUESTION: In what ways can algebraic methods be used in problems solving? Standard: MCC9-12.N.RN.1-3, N.CN.1-3, A.APR.1 Today’s Question: How do we simplify square roots with numbers and variables? Standard: MCC9-12.N.RN.1

Square Roots and Simplifying Radicals

Prime Numbers …

Numbers or variables under the radical sign

1. No perfect square factors other than 1 are under the radical. 2. No fractions are under the radical. 3. No radicals are in the denominator.

Factor Trees to Prime Factorization 45

Factor Trees to Prime Factorization 54

Factor Trees to Prime Factorization 98

When you have a pair, bring the number out. EX:1 Simplify.

When you have a pair, bring the number out. EX:2 Simplify

EX:3

EX:4 Simplify.

You try!

Variables as Radicands Even Exponent – ODD Exponent – Take HALF out (nothing left under the radical) Leave ONE under the radical and take HALF of the rest out

Worksheet #1 – 23