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    Cube Root of 213

    Cube Root Calculator
    Cube root of

    What is the cube root of 213?

    Answer

    ∛213 ≈
    5.9721

    Real cube root: the only number whose cube is 213.

    ≈ — rounded to 4 decimal places. 213 is not the cube of a rational number, so ∛213 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    213 = 3 × 71
    Take out of the root
    No prime appears three times, so ∛213 is already in simplest form.
    Between cubes
    5³ = 125 < 213 < 216 = 6³, so 5 < ∛213 < 6 and ∛213 ≈ 5.9721

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    https://calculat.io/en/number/cube-root/213Copy
    <a href="https://calculat.io/en/number/cube-root/213">Cube Root of 213 (∛213): Exact Value and Decimal</a>Copy
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    Cube Root of 213 (∛213): Exact Value and Decimal. ∛213 ≈ 5.9721. 213 has no cube factor but 1, so ∛213 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/213/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    201≈ 5.8578
    207≈ 5.9155
    2082∛26 ≈ 5.925
    213≈ 5.9721
    2166
    217≈ 6.0092
    220≈ 6.0368
    Recalculate with different values ↑

    FAQ

    What is the cube root of 213?

    ∛213 ≈ 5.9721

    Can ∛213 be simplified?

    No: no prime appears three times in 213, so its only cube factor is 1 and ∛213 is already in simplest form. Since 5³ = 125 < 213 < 216 = 6³, ∛213 lies between 5 and 6: ∛213 ≈ 5.9721.

    Is ∛213 a rational number?

    No: 213 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 ∛213 is irrational; its decimal never ends and never repeats: ∛213 ≈ 5.9721.

    See Also