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    Cube Root of 0.002

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.002?

    Answer

    ∛0.002 ≈
    0.126

    Real cube root: the only number whose cube is 0.002.

    ≈ — rounded to 4 decimal places. 0.002 is not the cube of a rational number, so ∛0.002 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    0.1³ = 0.001 < 0.002 < 0.008 = 0.2³, so 0.1 < ∛0.002 < 0.2 and ∛0.002 ≈ 0.126

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    https://calculat.io/en/number/cube-root/0.002Copy
    <a href="https://calculat.io/en/number/cube-root/0.002">Cube Root of 0.002 (∛0.002): Exact Value and Decimal</a>Copy
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    Cube Root of 0.002 (∛0.002): Exact Value and Decimal. ∛0.002 ≈ 0.126. 0.002 is not the cube of a decimal: 0.1³ = 0.001 < 0.002 < 0.008 = 0.2³.
    https://calculat.io/en/number/cube-root/0.002/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1/7291/9 ≈ 0.1111
    0.0017280.12
    1/5121/8 = 0.125
    0.002≈ 0.126
    1/3431/7 ≈ 0.1429
    1/2161/6 ≈ 0.1667
    0.0080.2
    Recalculate with different values ↑

    FAQ

    What is the cube root of 0.002?

    ∛0.002 ≈ 0.126

    How to find ∛0.002 without a calculator?

    Bracket it between cubes: 0.1³ = 0.001 < 0.002 < 0.008 = 0.2³, so ∛0.002 lies between 0.1 and 0.2. Narrowing the bracket digit by digit gives ∛0.002 ≈ 0.126; 0.002 is not the cube of a decimal, so the root never ends.

    Is ∛0.002 a rational number?

    No: 0.002 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 ∛0.002 is irrational; its decimal never ends and never repeats: ∛0.002 ≈ 0.126.

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