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    Cube Root of 233

    Cube Root Calculator
    Cube root of

    What is the cube root of 233?

    Answer

    ∛233 ≈
    6.1534

    Real cube root: the only number whose cube is 233.

    ≈ — rounded to 4 decimal places. 233 is not the cube of a rational number, so ∛233 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    233 is a prime number: no triple of equal factors.
    Between cubes
    6³ = 216 < 233 < 343 = 7³, so 6 < ∛233 < 7 and ∛233 ≈ 6.1534

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    https://calculat.io/en/number/cube-root/233Copy
    <a href="https://calculat.io/en/number/cube-root/233">Cube Root of 233 (∛233): Exact Value and Decimal</a>Copy
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    Cube Root of 233 (∛233): Exact Value and Decimal. ∛233 ≈ 6.1534. 233 has no cube factor but 1, so ∛233 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/233/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    228≈ 6.1091
    230≈ 6.1269
    231≈ 6.1358
    233≈ 6.1534
    238≈ 6.1972
    239≈ 6.2058
    2402∛30 ≈ 6.2145
    Recalculate with different values ↑

    FAQ

    What is the cube root of 233?

    ∛233 ≈ 6.1534

    Can ∛233 be simplified?

    No: no prime appears three times in 233, so its only cube factor is 1 and ∛233 is already in simplest form. Since 6³ = 216 < 233 < 343 = 7³, ∛233 lies between 6 and 7: ∛233 ≈ 6.1534.

    Is ∛233 a rational number?

    No: 233 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 ∛233 is irrational; its decimal never ends and never repeats: ∛233 ≈ 6.1534.

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