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    Cube Root of 1089

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,089?

    Answer

    ∛1,089 ≈
    10.2883

    Real cube root: the only number whose cube is 1,089.

    ≈ — rounded to 4 decimal places. 1,089 is not the cube of a rational number, so ∛1,089 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,089 = 3 × 3 × 11 × 11 = 3² × 11²
    Take out of the root
    No prime appears three times, so ∛1,089 is already in simplest form.
    Between cubes
    10³ = 1,000 < 1,089 < 1,331 = 11³, so 10 < ∛1,089 < 11 and ∛1,089 ≈ 10.2883

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    https://calculat.io/en/number/cube-root/1089Copy
    <a href="https://calculat.io/en/number/cube-root/1089">Cube Root of 1089 (∛1089): Exact Value and Decimal</a>Copy
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    Cube Root of 1089 (∛1089): Exact Value and Decimal. ∛1,089 ≈ 10.2883. 1,089 has no cube factor but 1, so ∛1,089 is already simplest; it lies between 10 and 11.
    https://calculat.io/en/number/cube-root/1089/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,0248∛2 ≈ 10.0794
    1,0297∛3 ≈ 10.0957
    1,0806∛5 ≈ 10.2599
    1,089≈ 10.2883
    1,1255∛9 ≈ 10.4004
    1,2002∛150 ≈ 10.6266
    1,210≈ 10.656
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,089?

    ∛1,089 ≈ 10.2883

    Can ∛1,089 be simplified?

    No: no prime appears three times in 1,089, so its only cube factor is 1 and ∛1,089 is already in simplest form. Since 10³ = 1,000 < 1,089 < 1,331 = 11³, ∛1,089 lies between 10 and 11: ∛1,089 ≈ 10.2883.

    Is ∛1,089 a rational number?

    No: 1,089 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 ∛1,089 is irrational; its decimal never ends and never repeats: ∛1,089 ≈ 10.2883.

    See Also