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    Cube Root of 0.8

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.8?

    Answer

    ∛0.8 ≈
    0.9283

    Real cube root: the only number whose cube is 0.8.

    ≈ — rounded to 4 decimal places. 0.8 is not the cube of a rational number, so ∛0.8 is irrational: its decimal expansion never ends and never repeats.

    0.8 = 4/5.

    Between cubes
    0.9³ = 0.729 < 0.8 < 1 = 1³, so 0.9 < ∛0.8 < 1 and ∛0.8 ≈ 0.9283

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    https://calculat.io/en/number/cube-root/0.8Copy
    <a href="https://calculat.io/en/number/cube-root/0.8">Cube Root of 0.8 (∛0.8): Exact Value and Decimal</a>Copy
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    Cube Root of 0.8 (∛0.8): Exact Value and Decimal. ∛0.8 ≈ 0.9283. 0.8 is not the cube of a decimal: 0.9³ = 0.729 < 0.8 < 1 = 1³.
    https://calculat.io/en/number/cube-root/0.8/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    0.7290.9
    729/10009/10 = 0.9
    3/4∛6/2 ≈ 0.9086
    0.8≈ 0.9283
    4/5∛100/5 ≈ 0.9283
    11
    1.1≈ 1.0323
    Recalculate with different values ↑

    FAQ

    What is the cube root of 0.8?

    ∛0.8 ≈ 0.9283

    How to find ∛0.8 without a calculator?

    Bracket it between cubes: 0.9³ = 0.729 < 0.8 < 1 = 1³, so ∛0.8 lies between 0.9 and 1. Narrowing the bracket digit by digit gives ∛0.8 ≈ 0.9283; 0.8 is not the cube of a decimal, so the root never ends.

    Is ∛0.8 a rational number?

    No: 0.8 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 ∛0.8 is irrational; its decimal never ends and never repeats: ∛0.8 ≈ 0.9283.

    See Also