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Objectives The student will be able to simplify a cube root. SOL: A.13 2009

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The index of a cube root is always 3. The cube root of 64 is written as. Cube Roots

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What does cube root mean? The cube root of a number is… …the value when multiplied by itself three times gives the original number.

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Cube Root Vocabulary index radicand radical sign

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If a number is a perfect cube, then you can find its exact cube root. A perfect cube is a number that can be written as the cube (raised to third power) of another number. Perfect Cubes

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What are Perfect Cubes? 1 3 = 1 x 1 x 1 = 1 2 3 = 2 x 2 x 2 = 8 3 3 = 3 x 3 x 3 = 27 4 3 = 4 x 4 x 4 = 64 5 3 = 5 x 5 x 5 = 125 and so on and on and on…..

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Examples: because

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Examples :

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Not all numbers or expressions have an exact cube root as in the previous examples. If a number is NOT a perfect cube, then you might be able to SIMPLIFY it. Simplify Cube Roots

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2 Extract the cube root of the factor that is a perfect cube. 1 Write the radicand as a product of two factors, where one of the factors is a perfect cube. To simplify a cube root... 3 The factors that are not perfect cubes will remain as the radicand.

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perfect cube Examples: 1) 2) 3)

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Not all cube roots can be simplified! 30 is not a perfect cube. 30 does not have a perfect cube factor. Example: cannot be simplified!

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