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    Cube Root of 0.5

    Cube Root Calculator
    Cube root of

    What is the cube root of 0.5?

    Answer

    ∛0.5 ≈
    0.7937

    Real cube root: the only number whose cube is 0.5.

    ≈ — rounded to 4 decimal places. 0.5 is not the cube of a rational number, so ∛0.5 is irrational: its decimal expansion never ends and never repeats.

    0.5 = 1/2.

    Between cubes
    0.7³ = 0.343 < 0.5 < 0.512 = 0.8³, so 0.7 < ∛0.5 < 0.8 and ∛0.5 ≈ 0.7937

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    https://calculat.io/en/number/cube-root/0.5Copy
    <a href="https://calculat.io/en/number/cube-root/0.5">Cube Root of 0.5 (∛0.5): Exact Value and Decimal</a>Copy
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    Cube Root of 0.5 (∛0.5): Exact Value and Decimal. ∛0.5 ≈ 0.7937. 0.5 is not the cube of a decimal: 0.7³ = 0.343 < 0.5 < 0.512 = 0.8³.
    https://calculat.io/en/number/cube-root/0.5/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    3/8∛3/2 ≈ 0.7211
    27/643/4 = 0.75
    343/7297/9 ≈ 0.7778
    0.5≈ 0.7937
    1/2∛4/2 ≈ 0.7937
    0.5120.8
    64/1254/5 = 0.8
    Recalculate with different values ↑

    FAQ

    What is the cube root of 0.5?

    ∛0.5 ≈ 0.7937

    How to find ∛0.5 without a calculator?

    Bracket it between cubes: 0.7³ = 0.343 < 0.5 < 0.512 = 0.8³, so ∛0.5 lies between 0.7 and 0.8. Narrowing the bracket digit by digit gives ∛0.5 ≈ 0.7937; 0.5 is not the cube of a decimal, so the root never ends.

    Is ∛0.5 a rational number?

    No: 0.5 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 ∛0.5 is irrational; its decimal never ends and never repeats: ∛0.5 ≈ 0.7937.

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