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    Cube Root of 12

    Cube Root Calculator
    Cube root of

    What is the cube root of 12?

    Answer

    ∛12 ≈
    2.2894

    Real cube root: the only number whose cube is 12.

    ≈ — rounded to 4 decimal places. 12 is not the cube of a rational number, so ∛12 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    12 = 2 × 2 × 3 = 2² × 3
    Take out of the root
    No prime appears three times, so ∛12 is already in simplest form.
    Between cubes
    2³ = 8 < 12 < 27 = 3³, so 2 < ∛12 < 3 and ∛12 ≈ 2.2894

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    https://calculat.io/en/number/cube-root/12Copy
    <a href="https://calculat.io/en/number/cube-root/12">Cube Root of 12 (∛12): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 12 (∛12): Exact Value and Decimal. ∛12 ≈ 2.2894. 12 has no cube factor but 1, so ∛12 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/12/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    9.2612.1
    10≈ 2.1544
    11≈ 2.224
    12≈ 2.2894
    12.1672.3
    13≈ 2.3513
    14≈ 2.4101
    Recalculate with different values ↑

    FAQ

    What is the cube root of 12?

    ∛12 ≈ 2.2894

    Can ∛12 be simplified?

    No: no prime appears three times in 12, so its only cube factor is 1 and ∛12 is already in simplest form. Since 2³ = 8 < 12 < 27 = 3³, ∛12 lies between 2 and 3: ∛12 ≈ 2.2894.

    Is ∛12 a rational number?

    No: 12 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 ∛12 is irrational; its decimal never ends and never repeats: ∛12 ≈ 2.2894.

    See Also