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    Cube Root of 31

    Cube Root Calculator
    Cube root of

    What is the cube root of 31?

    Answer

    ∛31 ≈
    3.1414

    Real cube root: the only number whose cube is 31.

    ≈ — rounded to 4 decimal places. 31 is not the cube of a rational number, so ∛31 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    31 is a prime number: no triple of equal factors.
    Between cubes
    3³ = 27 < 31 < 64 = 4³, so 3 < ∛31 < 4 and ∛31 ≈ 3.1414

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    https://calculat.io/en/number/cube-root/31Copy
    <a href="https://calculat.io/en/number/cube-root/31">Cube Root of 31 (∛31): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 31 (∛31): Exact Value and Decimal. ∛31 ≈ 3.1414. 31 has no cube factor but 1, so ∛31 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/31/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    29≈ 3.0723
    29.5≈ 3.0899
    30≈ 3.1072
    31≈ 3.1414
    322∛4 ≈ 3.1748
    32.7683.2
    33≈ 3.2075
    Recalculate with different values ↑

    FAQ

    What is the cube root of 31?

    ∛31 ≈ 3.1414

    Can ∛31 be simplified?

    No: no prime appears three times in 31, so its only cube factor is 1 and ∛31 is already in simplest form. Since 3³ = 27 < 31 < 64 = 4³, ∛31 lies between 3 and 4: ∛31 ≈ 3.1414.

    Is ∛31 a rational number?

    No: 31 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 ∛31 is irrational; its decimal never ends and never repeats: ∛31 ≈ 3.1414.

    See Also