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Objectives

Objectives. The student will be able to simplify a cube root. SOL: A.13 2009. The cube root of 64 is written as . Cube Roots. The index of a cube root is always 3 . What does cube root mean?. The cube root of a number is….

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Objectives

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

  2. The cube root of 64 is written as . Cube Roots The index of acube rootisalways3.

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

  4. radical sign index radicand Cube Root Vocabulary

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

  6. What are Perfect Cubes? 13 = 1 x 1 x 1 = 1 23 = 2 x 2 x 2 = 8 33 = 3 x 3 x 3 = 27 43 = 4 x 4 x 4 = 64 53 = 5 x 5 x 5 = 125 and so on and on and on…..

  7. Examples: because because

  8. Examples:

  9. Examples:

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

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

  12. perfect cube 1) 2) 3) Examples:

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

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