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    Cube Root of 3/125

    Cube Root Calculator
    Cube root of

    What is the cube root of 3/125?

    Answer

    ∛(3/125) =
    ∛3/5 ≈ 0.2884

    Real cube root: the only number whose cube is 3/125.

    ≈ — rounded to 4 decimal places. 3/125 is not the cube of a rational number, so ∛(3/125) is irrational: its decimal expansion never ends and never repeats.

    Root of a fraction
    ∛(3/125) = ∛3/∛125 = ∛3/5 ≈ 0.2884

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    https://calculat.io/en/number/cube-root/3-125Copy
    <a href="https://calculat.io/en/number/cube-root/3-125">Cube Root of 3/125 (∛(3/125)): Exact Value and Decimal</a>Copy
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    Cube Root of 3/125 (∛(3/125)): Exact Value and Decimal. ∛(3/125) = ∛3/5 ≈ 0.2884. ∛(3/125) = ∛3/∛125 = ∛3/5: the denominator 125 = 5³ is a perfect cube.
    https://calculat.io/en/number/cube-root/3-125/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1/641/4 = 0.25
    0.02≈ 0.2714
    8/3432/7 ≈ 0.2857
    3/125∛3/5 ≈ 0.2884
    0.025≈ 0.2924
    0.0270.3
    27/10003/10 = 0.3
    Recalculate with different values ↑

    FAQ

    What is the cube root of 3/125?

    ∛(3/125) = ∛3/5 ≈ 0.2884

    Why is ∛(3/125) = ∛3/5?

    The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(3/125) = ∛3/∛125 = ∛3/5, because 5³ = 125.

    Is ∛(3/125) a rational number?

    No: 3/125 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 ∛(3/125) is irrational; its decimal never ends and never repeats: ∛(3/125) ≈ 0.2884.

    See Also