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    Cube Root of 111

    Cube Root Calculator
    Cube root of

    What is the cube root of 111?

    Answer

    ∛111 ≈
    4.8059

    Real cube root: the only number whose cube is 111.

    ≈ — rounded to 4 decimal places. 111 is not the cube of a rational number, so ∛111 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    111 = 3 × 37
    Take out of the root
    No prime appears three times, so ∛111 is already in simplest form.
    Between cubes
    4³ = 64 < 111 < 125 = 5³, so 4 < ∛111 < 5 and ∛111 ≈ 4.8059

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    https://calculat.io/en/number/cube-root/111Copy
    <a href="https://calculat.io/en/number/cube-root/111">Cube Root of 111 (∛111): Exact Value and Decimal</a>Copy
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    Cube Root of 111 (∛111): Exact Value and Decimal. ∛111 ≈ 4.8059. 111 has no cube factor but 1, so ∛111 is already simplest; it lies between 4 and 5.
    https://calculat.io/en/number/cube-root/111/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1083∛4 ≈ 4.7622
    110≈ 4.7914
    110.5924.8
    111≈ 4.8059
    1122∛14 ≈ 4.8203
    113≈ 4.8346
    115≈ 4.8629
    Recalculate with different values ↑

    FAQ

    What is the cube root of 111?

    ∛111 ≈ 4.8059

    Can ∛111 be simplified?

    No: no prime appears three times in 111, so its only cube factor is 1 and ∛111 is already in simplest form. Since 4³ = 64 < 111 < 125 = 5³, ∛111 lies between 4 and 5: ∛111 ≈ 4.8059.

    Is ∛111 a rational number?

    No: 111 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 ∛111 is irrational; its decimal never ends and never repeats: ∛111 ≈ 4.8059.

    See Also