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    Cube Root of 0.02

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.02?

    Answer

    ∛0.02 ≈
    0.2714

    Real cube root: the only number whose cube is 0.02.

    ≈ — rounded to 4 decimal places. 0.02 is not the cube of a rational number, so ∛0.02 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    0.2³ = 0.008 < 0.02 < 0.027 = 0.3³, so 0.2 < ∛0.02 < 0.3 and ∛0.02 ≈ 0.2714

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    https://calculat.io/en/number/cube-root/0.02Copy
    <a href="https://calculat.io/en/number/cube-root/0.02">Cube Root of 0.02 (∛0.02): Exact Value and Decimal</a>Copy
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    Cube Root of 0.02 (∛0.02): Exact Value and Decimal. ∛0.02 ≈ 0.2714. 0.02 is not the cube of a decimal: 0.2³ = 0.008 < 0.02 < 0.027 = 0.3³.
    https://calculat.io/en/number/cube-root/0.02/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1/1251/5 = 0.2
    8/7292/9 ≈ 0.2222
    1/641/4 = 0.25
    0.02≈ 0.2714
    8/3432/7 ≈ 0.2857
    3/125∛3/5 ≈ 0.2884
    0.025≈ 0.2924
    Recalculate with different values ↑

    FAQ

    What is the cube root of 0.02?

    ∛0.02 ≈ 0.2714

    How to find ∛0.02 without a calculator?

    Bracket it between cubes: 0.2³ = 0.008 < 0.02 < 0.027 = 0.3³, so ∛0.02 lies between 0.2 and 0.3. Narrowing the bracket digit by digit gives ∛0.02 ≈ 0.2714; 0.02 is not the cube of a decimal, so the root never ends.

    Is ∛0.02 a rational number?

    No: 0.02 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 ∛0.02 is irrational; its decimal never ends and never repeats: ∛0.02 ≈ 0.2714.

    See Also