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    Cube Root of 3/8

    Cube Root Calculator
    Cube root of

    What is the cube root of 3/8?

    Answer

    ∛(3/8) =
    ∛3/2 ≈ 0.7211

    Real cube root: the only number whose cube is 3/8.

    ≈ — rounded to 4 decimal places. 3/8 is not the cube of a rational number, so ∛(3/8) is irrational: its decimal expansion never ends and never repeats.

    Root of a fraction
    ∛(3/8) = ∛3/∛8 = ∛3/2 ≈ 0.7211

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    https://calculat.io/en/number/cube-root/3-8Copy
    <a href="https://calculat.io/en/number/cube-root/3-8">Cube Root of 3/8 (∛(3/8)): Exact Value and Decimal</a>Copy
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    Cube Root of 3/8 (∛(3/8)): Exact Value and Decimal. ∛(3/8) = ∛3/2 ≈ 0.7211. ∛(3/8) = ∛3/∛8 = ∛3/2: the denominator 8 = 2³ is a perfect cube.
    https://calculat.io/en/number/cube-root/3-8/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    343/10007/10 = 0.7
    0.36≈ 0.7114
    125/3435/7 ≈ 0.7143
    3/8∛3/2 ≈ 0.7211
    27/643/4 = 0.75
    343/7297/9 ≈ 0.7778
    0.5≈ 0.7937
    Recalculate with different values ↑

    FAQ

    What is the cube root of 3/8?

    ∛(3/8) = ∛3/2 ≈ 0.7211

    Why is ∛(3/8) = ∛3/2?

    The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(3/8) = ∛3/∛8 = ∛3/2, because 2³ = 8.

    Is ∛(3/8) a rational number?

    No: 3/8 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 ∛(3/8) is irrational; its decimal never ends and never repeats: ∛(3/8) ≈ 0.7211.

    See Also