Simplifying Radicals

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What is a radical?

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A radical is an expression that includes a root, such as a square root (√) or cube root (∛).

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How do you simplify a radical?

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To simplify a radical, factor the number under the root into its prime factors and then extract any perfect squares (or cubes, etc.) from under the radical.

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What is the square root of 24?

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The square root of 24 can be simplified to 2√6.

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What is the product property of square roots?

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What is the quotient property of square roots?

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What does it mean to rationalize the denominator?

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Rationalizing the denominator means to eliminate any radicals from the denominator of a fraction.