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    Cube Root of 238

    Cube Root Calculator
    Cube root of

    What is the cube root of 238?

    Answer

    ∛238 ≈
    6.1972

    Real cube root: the only number whose cube is 238.

    ≈ — rounded to 4 decimal places. 238 is not the cube of a rational number, so ∛238 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    238 = 2 × 7 × 17
    Take out of the root
    No prime appears three times, so ∛238 is already in simplest form.
    Between cubes
    6³ = 216 < 238 < 343 = 7³, so 6 < ∛238 < 7 and ∛238 ≈ 6.1972

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    https://calculat.io/en/number/cube-root/238Copy
    <a href="https://calculat.io/en/number/cube-root/238">Cube Root of 238 (∛238): Exact Value and Decimal</a>Copy
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    Cube Root of 238 (∛238): Exact Value and Decimal. ∛238 ≈ 6.1972. 238 has no cube factor but 1, so ∛238 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/238/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    230≈ 6.1269
    231≈ 6.1358
    233≈ 6.1534
    238≈ 6.1972
    239≈ 6.2058
    2402∛30 ≈ 6.2145
    242≈ 6.2317
    Recalculate with different values ↑

    FAQ

    What is the cube root of 238?

    ∛238 ≈ 6.1972

    Can ∛238 be simplified?

    No: no prime appears three times in 238, so its only cube factor is 1 and ∛238 is already in simplest form. Since 6³ = 216 < 238 < 343 = 7³, ∛238 lies between 6 and 7: ∛238 ≈ 6.1972.

    Is ∛238 a rational number?

    No: 238 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 ∛238 is irrational; its decimal never ends and never repeats: ∛238 ≈ 6.1972.

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