Simplifying Square and Cube Roots

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What is a square root?

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A square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 x 3 = 9.

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What is a cube root?

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A cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3, because 3 x 3 x 3 = 27.

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What is the process of simplifying square roots?

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To simplify a square root, factor the number under the root into its prime factors, then pair the factors. Each pair can be taken out of the root as a single number.

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What is the prime factorization of 24?

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What is the prime factorization of 120?

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What is the prime factorization of 200?

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