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    Cube Root of 1332

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,332?

    Answer

    ∛1,332 ≈
    11.0028

    Real cube root: the only number whose cube is 1,332.

    ≈ — rounded to 4 decimal places. 1,332 is not the cube of a rational number, so ∛1,332 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,332 = 2 × 2 × 3 × 3 × 37 = 2² × 3² × 37
    Take out of the root
    No prime appears three times, so ∛1,332 is already in simplest form.
    Between cubes
    11³ = 1,331 < 1,332 < 1,728 = 12³, so 11 < ∛1,332 < 12 and ∛1,332 ≈ 11.0028

    See Also

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    https://calculat.io/en/number/cube-root/1332Copy
    <a href="https://calculat.io/en/number/cube-root/1332">Cube Root of 1332 (∛1332): Exact Value and Decimal</a>Copy
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    Cube Root of 1332 (∛1332): Exact Value and Decimal. ∛1,332 ≈ 11.0028. 1,332 has no cube factor but 1, so ∛1,332 is already simplest; it lies between 11 and 12.
    https://calculat.io/en/number/cube-root/1332/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,2966∛6 ≈ 10.9027
    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
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,332?

    ∛1,332 ≈ 11.0028

    Can ∛1,332 be simplified?

    No: no prime appears three times in 1,332, so its only cube factor is 1 and ∛1,332 is already in simplest form. Since 11³ = 1,331 < 1,332 < 1,728 = 12³, ∛1,332 lies between 11 and 12: ∛1,332 ≈ 11.0028.

    Is ∛1,332 a rational number?

    No: 1,332 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 ∛1,332 is irrational; its decimal never ends and never repeats: ∛1,332 ≈ 11.0028.

    See Also