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    Cube Root of 1369

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    Cube root of

    What is the cube root of 1,369?

    Answer

    ∛1,369 ≈
    11.1037

    Real cube root: the only number whose cube is 1,369.

    ≈ — rounded to 4 decimal places. 1,369 is not the cube of a rational number, so ∛1,369 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,369 = 37 × 37 = 37²
    Take out of the root
    No prime appears three times, so ∛1,369 is already in simplest form.
    Between cubes
    11³ = 1,331 < 1,369 < 1,728 = 12³, so 11 < ∛1,369 < 12 and ∛1,369 ≈ 11.1037

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    https://calculat.io/en/number/cube-root/1369Copy
    <a href="https://calculat.io/en/number/cube-root/1369">Cube Root of 1369 (∛1369): Exact Value and Decimal</a>Copy
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    Cube Root of 1369 (∛1369): Exact Value and Decimal. ∛1,369 ≈ 11.1037. 1,369 has no cube factor but 1, so ∛1,369 is already simplest; it lies between 11 and 12.
    https://calculat.io/en/number/cube-root/1369/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,3233∛49 ≈ 10.9779
    1,33111
    1,332≈ 11.0028
    1,369≈ 11.1037
    1,3727∛4 ≈ 11.1118
    1,4589∛2 ≈ 11.3393
    1,4882∛186 ≈ 11.4165
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,369?

    ∛1,369 ≈ 11.1037

    Can ∛1,369 be simplified?

    No: no prime appears three times in 1,369, so its only cube factor is 1 and ∛1,369 is already in simplest form. Since 11³ = 1,331 < 1,369 < 1,728 = 12³, ∛1,369 lies between 11 and 12: ∛1,369 ≈ 11.1037.

    Is ∛1,369 a rational number?

    No: 1,369 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 ∛1,369 is irrational; its decimal never ends and never repeats: ∛1,369 ≈ 11.1037.

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