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Bell Ringer #93 Objective Be able to simplify square roots without a calculator

Lesson 74 • Simplifying Square Roots:

Lesson 74 • Simplifying Square Roots

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Ex. Express 108 as a product of prime factors 108 2 54 2 27 3 9 3 3 2 2 x 3 3 Ex. Express 400 as a product of prime factors 400 2 200 2 100 10 10 2 2 5 5 2 4 x 5 2

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Ex. Simplifying Radicals Use Product of Primes = For every two of the same number, one goes in front of the radical as a factor 2 2 Ex. = 2 2 = Ex. = = 2 3 =

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12 cm 6 cm c 36 + 144 = c 2 180 = c 2 √2x2x3x3x5 = c 6√5 = c = 13.42

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