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    Cube Root of 207

    Cube Root Calculator
    Cube root of

    What is the cube root of 207?

    Answer

    ∛207 ≈
    5.9155

    Real cube root: the only number whose cube is 207.

    ≈ — rounded to 4 decimal places. 207 is not the cube of a rational number, so ∛207 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    207 = 3 × 3 × 23 = 3² × 23
    Take out of the root
    No prime appears three times, so ∛207 is already in simplest form.
    Between cubes
    5³ = 125 < 207 < 216 = 6³, so 5 < ∛207 < 6 and ∛207 ≈ 5.9155

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    https://calculat.io/en/number/cube-root/207Copy
    <a href="https://calculat.io/en/number/cube-root/207">Cube Root of 207 (∛207): Exact Value and Decimal</a>Copy
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    Cube Root of 207 (∛207): Exact Value and Decimal. ∛207 ≈ 5.9155. 207 has no cube factor but 1, so ∛207 is already simplest; it lies between 5 and 6.
    https://calculat.io/en/number/cube-root/207/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    197≈ 5.8186
    2002∛25 ≈ 5.848
    201≈ 5.8578
    207≈ 5.9155
    2082∛26 ≈ 5.925
    213≈ 5.9721
    2166
    Recalculate with different values ↑

    FAQ

    What is the cube root of 207?

    ∛207 ≈ 5.9155

    Can ∛207 be simplified?

    No: no prime appears three times in 207, so its only cube factor is 1 and ∛207 is already in simplest form. Since 5³ = 125 < 207 < 216 = 6³, ∛207 lies between 5 and 6: ∛207 ≈ 5.9155.

    Is ∛207 a rational number?

    No: 207 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 ∛207 is irrational; its decimal never ends and never repeats: ∛207 ≈ 5.9155.

    See Also