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    Cube Root of 38

    Cube Root Calculator
    Cube root of

    What is the cube root of 38?

    Answer

    ∛38 ≈
    3.362

    Real cube root: the only number whose cube is 38.

    ≈ — rounded to 4 decimal places. 38 is not the cube of a rational number, so ∛38 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    38 = 2 × 19
    Take out of the root
    No prime appears three times, so ∛38 is already in simplest form.
    Between cubes
    3³ = 27 < 38 < 64 = 4³, so 3 < ∛38 < 4 and ∛38 ≈ 3.362

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    https://calculat.io/en/number/cube-root/38Copy
    <a href="https://calculat.io/en/number/cube-root/38">Cube Root of 38 (∛38): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 38 (∛38): Exact Value and Decimal. ∛38 ≈ 3.362. 38 has no cube factor but 1, so ∛38 is already simplest; it lies between 3 and 4.
    https://calculat.io/en/number/cube-root/38/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    35≈ 3.2711
    36≈ 3.3019
    37≈ 3.3322
    38≈ 3.362
    39≈ 3.3912
    402∛5 ≈ 3.42
    41≈ 3.4482
    Recalculate with different values ↑

    FAQ

    What is the cube root of 38?

    ∛38 ≈ 3.362

    Can ∛38 be simplified?

    No: no prime appears three times in 38, so its only cube factor is 1 and ∛38 is already in simplest form. Since 3³ = 27 < 38 < 64 = 4³, ∛38 lies between 3 and 4: ∛38 ≈ 3.362.

    Is ∛38 a rational number?

    No: 38 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 ∛38 is irrational; its decimal never ends and never repeats: ∛38 ≈ 3.362.

    See Also