Simplifying Radicals with Variables - Medium

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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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CCSS.8.NS.A.1

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How do you simplify a radical expression?

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To simplify a radical expression, factor the number under the radical into its prime factors, and then take out pairs of factors for square roots.

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What is the square root of 36?

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The square root of 36 is 6.

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CCSS.8.EE.A.2

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CCSS.HSN.RN.A.2

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What is the square root of a variable squared?

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How do you handle variables when simplifying radicals?

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For variables, take the square root of the variable raised to an even power and leave the square root of the variable raised to an odd power.

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