3 3 Simplifying Radicals Objectives To simplify radicals

3. 3 Simplifying Radicals Objectives: • To simplify radicals.

Roots nth root of a Index SIMPLIFY (means principal root) Radical Sign Radicand

Product and Quotient Properties of Radicals

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

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

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

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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Assignment 3. 3 Worksheet