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    Cube Root of 217

    Cube Root Calculator
    Cube root of

    What is the cube root of 217?

    Answer

    ∛217 ≈
    6.0092

    Real cube root: the only number whose cube is 217.

    ≈ — rounded to 4 decimal places. 217 is not the cube of a rational number, so ∛217 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    217 = 7 × 31
    Take out of the root
    No prime appears three times, so ∛217 is already in simplest form.
    Between cubes
    6³ = 216 < 217 < 343 = 7³, so 6 < ∛217 < 7 and ∛217 ≈ 6.0092

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    https://calculat.io/en/number/cube-root/217Copy
    <a href="https://calculat.io/en/number/cube-root/217">Cube Root of 217 (∛217): Exact Value and Decimal</a>Copy
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    Cube Root of 217 (∛217): Exact Value and Decimal. ∛217 ≈ 6.0092. 217 has no cube factor but 1, so ∛217 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/217/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2082∛26 ≈ 5.925
    213≈ 5.9721
    2166
    217≈ 6.0092
    220≈ 6.0368
    222≈ 6.055
    223≈ 6.0641
    Recalculate with different values ↑

    FAQ

    What is the cube root of 217?

    ∛217 ≈ 6.0092

    Can ∛217 be simplified?

    No: no prime appears three times in 217, so its only cube factor is 1 and ∛217 is already in simplest form. Since 6³ = 216 < 217 < 343 = 7³, ∛217 lies between 6 and 7: ∛217 ≈ 6.0092.

    Is ∛217 a rational number?

    No: 217 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 ∛217 is irrational; its decimal never ends and never repeats: ∛217 ≈ 6.0092.

    See Also