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    Cube Root of 289

    Cube Root Calculator
    Cube root of

    What is the cube root of 289?

    Answer

    ∛289 ≈
    6.6115

    Real cube root: the only number whose cube is 289.

    ≈ — rounded to 4 decimal places. 289 is not the cube of a rational number, so ∛289 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    289 = 17 × 17 = 17²
    Take out of the root
    No prime appears three times, so ∛289 is already in simplest form.
    Between cubes
    6³ = 216 < 289 < 343 = 7³, so 6 < ∛289 < 7 and ∛289 ≈ 6.6115

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    https://calculat.io/en/number/cube-root/289Copy
    <a href="https://calculat.io/en/number/cube-root/289">Cube Root of 289 (∛289): Exact Value and Decimal</a>Copy
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    Cube Root of 289 (∛289): Exact Value and Decimal. ∛289 ≈ 6.6115. 289 has no cube factor but 1, so ∛289 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/289/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2802∛35 ≈ 6.5421
    285≈ 6.5808
    2882∛36 ≈ 6.6039
    289≈ 6.6115
    290≈ 6.6191
    292≈ 6.6343
    2962∛37 ≈ 6.6644
    Recalculate with different values ↑

    FAQ

    What is the cube root of 289?

    ∛289 ≈ 6.6115

    Can ∛289 be simplified?

    No: no prime appears three times in 289, so its only cube factor is 1 and ∛289 is already in simplest form. Since 6³ = 216 < 289 < 343 = 7³, ∛289 lies between 6 and 7: ∛289 ≈ 6.6115.

    Is ∛289 a rational number?

    No: 289 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 ∛289 is irrational; its decimal never ends and never repeats: ∛289 ≈ 6.6115.

    See Also