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    Cube Root of 231

    Cube Root Calculator
    Cube root of

    What is the cube root of 231?

    Answer

    ∛231 ≈
    6.1358

    Real cube root: the only number whose cube is 231.

    ≈ — rounded to 4 decimal places. 231 is not the cube of a rational number, so ∛231 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    231 = 3 × 7 × 11
    Take out of the root
    No prime appears three times, so ∛231 is already in simplest form.
    Between cubes
    6³ = 216 < 231 < 343 = 7³, so 6 < ∛231 < 7 and ∛231 ≈ 6.1358

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    https://calculat.io/en/number/cube-root/231Copy
    <a href="https://calculat.io/en/number/cube-root/231">Cube Root of 231 (∛231): Exact Value and Decimal</a>Copy
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    Cube Root of 231 (∛231): Exact Value and Decimal. ∛231 ≈ 6.1358. 231 has no cube factor but 1, so ∛231 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/231/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    225≈ 6.0822
    228≈ 6.1091
    230≈ 6.1269
    231≈ 6.1358
    233≈ 6.1534
    238≈ 6.1972
    239≈ 6.2058
    Recalculate with different values ↑

    FAQ

    What is the cube root of 231?

    ∛231 ≈ 6.1358

    Can ∛231 be simplified?

    No: no prime appears three times in 231, so its only cube factor is 1 and ∛231 is already in simplest form. Since 6³ = 216 < 231 < 343 = 7³, ∛231 lies between 6 and 7: ∛231 ≈ 6.1358.

    Is ∛231 a rational number?

    No: 231 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 ∛231 is irrational; its decimal never ends and never repeats: ∛231 ≈ 6.1358.

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