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    Cube Root of 257

    Cube Root Calculator
    Cube root of

    What is the cube root of 257?

    Answer

    ∛257 ≈
    6.3579

    Real cube root: the only number whose cube is 257.

    ≈ — rounded to 4 decimal places. 257 is not the cube of a rational number, so ∛257 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    257 is a prime number: no triple of equal factors.
    Between cubes
    6³ = 216 < 257 < 343 = 7³, so 6 < ∛257 < 7 and ∛257 ≈ 6.3579

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    https://calculat.io/en/number/cube-root/257Copy
    <a href="https://calculat.io/en/number/cube-root/257">Cube Root of 257 (∛257): Exact Value and Decimal</a>Copy
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    Cube Root of 257 (∛257): Exact Value and Decimal. ∛257 ≈ 6.3579. 257 has no cube factor but 1, so ∛257 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/257/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2505∛2 ≈ 6.2996
    255≈ 6.3413
    2564∛4 ≈ 6.3496
    257≈ 6.3579
    258≈ 6.3661
    276≈ 6.5108
    279≈ 6.5343
    Recalculate with different values ↑

    FAQ

    What is the cube root of 257?

    ∛257 ≈ 6.3579

    Can ∛257 be simplified?

    No: no prime appears three times in 257, so its only cube factor is 1 and ∛257 is already in simplest form. Since 6³ = 216 < 257 < 343 = 7³, ∛257 lies between 6 and 7: ∛257 ≈ 6.3579.

    Is ∛257 a rational number?

    No: 257 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 ∛257 is irrational; its decimal never ends and never repeats: ∛257 ≈ 6.3579.

    See Also