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8 September, 18:40

How do you find the nearest hundredth of the cub roots:

8 cube root and 75 cube root

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Answers (2)
  1. 8 September, 20:37
    0
    8 Cube root: 2

    75 Cube root: 4.22
  2. 8 September, 21:46
    0
    Part 1

    To the nearest hundredth:

    cubed root of 103 is 4.687 ... rounded gives 4.69

    Part 2 : now as to the process:

    its going to be repeated power finding on a calculator, or by hand:

    4x4x4 = 64

    5x5x5 = 125 so its between 4 and 5

    4.5 x 4.5 x4.5 = 91.1

    4.6 x 4.6 x 4.6 = 97.3 so its a little higher

    4.65 x 4.65 x 4.65 = 100.5 needs to be higher still

    so we continue until we get to 4.68

    4.68 x 4.68 x 4.68 = 102.5 too low

    4.69 x 4.69 x 4.69 = 103.1 too high

    so continue:

    try 4.681, 4.682, and so on

    until we get 4.687 x 4.687 x 4.687 = 102.96 (pretty close)

    and 4.688 x 4.688 x 4.688 = 103.02 (slightly too high)

    and continue with the next decimal ...

    and eventually

    4.687 is the closest ... Rounded gives 4.69
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