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CUBE ROOTS

CUBE ROOTS. 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…. …the value when multiplied by itself three times gives the original number. radical sign. index. radicand.

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CUBE ROOTS

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  1. CUBE ROOTS

  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. ***Note…a cube root can be solved with a negative on the inside of the root symbol

  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. 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.

  10. 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.

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

  12. 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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