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UNIT 4- radicals simplify a cube root and higher.

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Presentation on theme: "UNIT 4- radicals simplify a cube root and higher."— Presentation transcript:

1 UNIT 4- radicals simplify a cube root and higher

2 Cube Root Vocabulary index radicand radical sign

3 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…..

4 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

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

6 Examples: because

7 Examples :

8 UH-OH, Variables Divide the exponent by the index

9 Not all numbers or expressions have an exact cube root as in the previous examples. If a number is NOT a perfect cube, then try to find a perfect cube that divides evenly into the radicand. Simplify Cube Roots

10 perfect cube Examples: 1) 2) 3)

11 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!

12 Pg 371 #19-27


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