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    Cube Root of 1/2

    Cube Root Calculator
    Cube root of

    What is the cube root of 1/2?

    Answer

    ∛(1/2) =
    ∛4/2 ≈ 0.7937

    Real cube root: the only number whose cube is 1/2.

    ≈ — rounded to 4 decimal places. 1/2 is not the cube of a rational number, so ∛(1/2) is irrational: its decimal expansion never ends and never repeats.

    1/2 = 0.5.

    Root of a fraction
    ∛(1/2) = ∛1/∛2 = 1/∛2
    Multiply by ∛(2²) = ∛4
    1/∛2 = ∛4/∛8 = ∛4/2 ≈ 0.7937

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    https://calculat.io/en/number/cube-root/1-2Copy
    <a href="https://calculat.io/en/number/cube-root/1-2">Cube Root of 1/2 (∛(1/2)): Exact Value and Decimal</a>Copy
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    Cube Root of 1/2 (∛(1/2)): Exact Value and Decimal. ∛(1/2) = ∛4/2 ≈ 0.7937. ∛(1/2) = ∛1/∛2; multiplying by ∛4 clears the root from the denominator.
    https://calculat.io/en/number/cube-root/1-2/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    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
    125/2165/6 ≈ 0.8333
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1/2?

    ∛(1/2) = ∛4/2 ≈ 0.7937

    Why is ∛(1/2) = ∛4/2?

    ∛(1/2) = ∛1/∛2. Multiplying the numerator and the denominator by ∛(2²) = ∛4 makes the denominator a perfect cube: ∛4/∛8 = ∛4/2. The value does not change; only the root leaves the denominator.

    Is ∛(1/2) a rational number?

    No: 1/2 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 ∛(1/2) is irrational; its decimal never ends and never repeats: ∛(1/2) ≈ 0.7937.

    See Also