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    Cube Root of 0.2

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.2?

    Answer

    ∛0.2 ≈
    0.5848

    Real cube root: the only number whose cube is 0.2.

    ≈ — rounded to 4 decimal places. 0.2 is not the cube of a rational number, so ∛0.2 is irrational: its decimal expansion never ends and never repeats.

    Between cubes
    0.5³ = 0.125 < 0.2 < 0.216 = 0.6³, so 0.5 < ∛0.2 < 0.6 and ∛0.2 ≈ 0.5848

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    <a href="https://calculat.io/en/number/cube-root/0.2">Cube Root of 0.2 (∛0.2): Exact Value and Decimal</a>Copy
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    Cube Root of 0.2 (∛0.2): Exact Value and Decimal. ∛0.2 ≈ 0.5848. 0.2 is not the cube of a decimal: 0.5³ = 0.125 < 0.2 < 0.216 = 0.6³.
    https://calculat.io/en/number/cube-root/0.2/generated.jpgCopy

    FAQ

    What is the cube root of 0.2?

    ∛0.2 ≈ 0.5848

    How to find ∛0.2 without a calculator?

    Bracket it between cubes: 0.5³ = 0.125 < 0.2 < 0.216 = 0.6³, so ∛0.2 lies between 0.5 and 0.6. Narrowing the bracket digit by digit gives ∛0.2 ≈ 0.5848; 0.2 is not the cube of a decimal, so the root never ends.

    Is ∛0.2 a rational number?

    No: 0.2 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 ∛0.2 is irrational; its decimal never ends and never repeats: ∛0.2 ≈ 0.5848.