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15 October, 02:26

What is the cube root of 12? I have to show my work using common core.

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  1. 15 October, 03:08
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    Analyze perfect cubes:

    1^3 = 1

    2^3 = 8

    3^3 = 27

    Since 12 is between 8 and 27, cube root of 12 is between 2 and 3.

    You also know it is much closer to 2, since 12 is much closer to 8.

    A good guess would be 2.25

    (2.25) ^3 = 11.39

    This is close but slightly less than 12.

    When you use your calculator you should get 2.2894.
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