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    Cube Root of 0.0008

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.0008?

    Answer

    ∛0.0008 ≈
    0.0928

    Real cube root: the only number whose cube is 0.0008.

    ≈ — rounded to 4 decimal places. 0.0008 is not the cube of a rational number, so ∛0.0008 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    0.09³ = 0.000729 < 0.0008 < 0.001 = 0.1³, so 0.09 < ∛0.0008 < 0.1 and ∛0.0008 ≈ 0.0928

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    <a href="https://calculat.io/en/number/cube-root/0.0008">Cube Root of 0.0008 (∛0.0008): Exact Value and Decimal</a>Copy
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    Cube Root of 0.0008 (∛0.0008): Exact Value and Decimal. ∛0.0008 ≈ 0.0928. 0.0008 is not the cube of a decimal: 0.09³ = 0.000729 < 0.0008 < 0.001 = 0.1³.
    https://calculat.io/en/number/cube-root/0.0008/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    −0.0125≈ −0.2321
    00
    0.00015≈ 0.0531
    0.0008≈ 0.0928
    0.0010.1
    1/10001/10 = 0.1
    1/7291/9 ≈ 0.1111
    Recalculate with different values ↑

    FAQ

    What is the cube root of 0.0008?

    ∛0.0008 ≈ 0.0928

    How to find ∛0.0008 without a calculator?

    Bracket it between cubes: 0.09³ = 0.000729 < 0.0008 < 0.001 = 0.1³, so ∛0.0008 lies between 0.09 and 0.1. Narrowing the bracket digit by digit gives ∛0.0008 ≈ 0.0928; 0.0008 is not the cube of a decimal, so the root never ends.

    Is ∛0.0008 a rational number?

    No: 0.0008 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛0.0008 is irrational; its decimal never ends and never repeats: ∛0.0008 ≈ 0.0928.

    See Also