Simplify Radicals with variables

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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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What is the cube root of a number?

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CCSS.8.EE.A.2

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CCSS.HSN.RN.A.2

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CCSS.HSN.RN.A.2

Front

What does it mean to simplify a radical expression?

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To simplify a radical expression means to rewrite it in a simpler form, often by factoring out perfect squares or cubes.

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Is the cube root of a negative number possible?

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Yes, the cube root of a negative number is possible and results in a negative number.

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What is a perfect square?

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A perfect square is a number that can be expressed as the square of an integer.

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CCSS.8.EE.A.2

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How do you combine like radicals?

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You can combine like radicals by adding or subtracting their coefficients if they have the same radicand.