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    Cube Root of 11

    Cube Root Calculator
    Cube root of

    What is the cube root of 11?

    Answer

    ∛11 ≈
    2.224

    Real cube root: the only number whose cube is 11.

    ≈ — rounded to 4 decimal places. 11 is not the cube of a rational number, so ∛11 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    11 is a prime number: no triple of equal factors.
    Between cubes
    2³ = 8 < 11 < 27 = 3³, so 2 < ∛11 < 3 and ∛11 ≈ 2.224

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    https://calculat.io/en/number/cube-root/11Copy
    <a href="https://calculat.io/en/number/cube-root/11">Cube Root of 11 (∛11): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 11 (∛11): Exact Value and Decimal. ∛11 ≈ 2.224. 11 has no cube factor but 1, so ∛11 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/11/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    9≈ 2.0801
    9.2612.1
    10≈ 2.1544
    11≈ 2.224
    12≈ 2.2894
    12.1672.3
    13≈ 2.3513
    Recalculate with different values ↑

    FAQ

    What is the cube root of 11?

    ∛11 ≈ 2.224

    Can ∛11 be simplified?

    No: no prime appears three times in 11, so its only cube factor is 1 and ∛11 is already in simplest form. Since 2³ = 8 < 11 < 27 = 3³, ∛11 lies between 2 and 3: ∛11 ≈ 2.224.

    Is ∛11 a rational number?

    No: 11 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 ∛11 is irrational; its decimal never ends and never repeats: ∛11 ≈ 2.224.

    See Also