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    Cube Root of 39

    Cube Root Calculator
    Cube root of

    What is the cube root of 39?

    Answer

    ∛39 ≈
    3.3912

    Real cube root: the only number whose cube is 39.

    ≈ — rounded to 4 decimal places. 39 is not the cube of a rational number, so ∛39 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    39 = 3 × 13
    Take out of the root
    No prime appears three times, so ∛39 is already in simplest form.
    Between cubes
    3³ = 27 < 39 < 64 = 4³, so 3 < ∛39 < 4 and ∛39 ≈ 3.3912

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    https://calculat.io/en/number/cube-root/39Copy
    <a href="https://calculat.io/en/number/cube-root/39">Cube Root of 39 (∛39): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 39 (∛39): Exact Value and Decimal. ∛39 ≈ 3.3912. 39 has no cube factor but 1, so ∛39 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/39/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    36≈ 3.3019
    37≈ 3.3322
    38≈ 3.362
    39≈ 3.3912
    402∛5 ≈ 3.42
    41≈ 3.4482
    42≈ 3.476
    Recalculate with different values ↑

    FAQ

    What is the cube root of 39?

    ∛39 ≈ 3.3912

    Can ∛39 be simplified?

    No: no prime appears three times in 39, so its only cube factor is 1 and ∛39 is already in simplest form. Since 3³ = 27 < 39 < 64 = 4³, ∛39 lies between 3 and 4: ∛39 ≈ 3.3912.

    Is ∛39 a rational number?

    No: 39 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 ∛39 is irrational; its decimal never ends and never repeats: ∛39 ≈ 3.3912.

    See Also