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3.3 Simplifying Radicals Objectives: To simplify radicals.
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Roots nth root of a Index SIMPLIFY Radical Sign Radicand
(means principal root)
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Product and Quotient Properties of Radicals
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Method 1 Steps for Simplifying Roots
1) Find the largest perfect square that is a factor of the number 2) Write the factor pair under the square root 3) Separate into two square roots 4) We choose a perfect square because we know its square root is an integer. 5) Imply multiplication
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Method 2 Steps for Simplifying Roots
1) Prime factor the radicand 2) Write the prime factorization under the radical sign 3) Find any and all pairs if a square root, triples if a cube root, and so on 4) Pull out each pair as a single 5) Drop the pair
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Method 1 Steps for Simplifying Roots
1) Find the largest perfect square that is a factor of the number 2) Write the factor pair under the square root 3) Separate into two square roots 4) We choose a perfect square because we know its square root is an integer. 5) Imply multiplication
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Method 1 Steps for Simplifying Roots
1) Find the largest perfect square that is a factor of the number 2) Write the factor pair under the square root 3) Separate into two square roots 4) We choose a perfect square because we know its square root is an integer. 5) Imply multiplication
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You try!
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You try!
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You try!
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You try!
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Assignment 3.3 Worksheet
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