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    Cube Root of 285

    Cube Root Calculator
    Cube root of

    What is the cube root of 285?

    Answer

    ∛285 ≈
    6.5808

    Real cube root: the only number whose cube is 285.

    ≈ — rounded to 4 decimal places. 285 is not the cube of a rational number, so ∛285 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    285 = 3 × 5 × 19
    Take out of the root
    No prime appears three times, so ∛285 is already in simplest form.
    Between cubes
    6³ = 216 < 285 < 343 = 7³, so 6 < ∛285 < 7 and ∛285 ≈ 6.5808

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    https://calculat.io/en/number/cube-root/285Copy
    <a href="https://calculat.io/en/number/cube-root/285">Cube Root of 285 (∛285): Exact Value and Decimal</a>Copy
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    Cube Root of 285 (∛285): Exact Value and Decimal. ∛285 ≈ 6.5808. 285 has no cube factor but 1, so ∛285 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/285/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    276≈ 6.5108
    279≈ 6.5343
    2802∛35 ≈ 6.5421
    285≈ 6.5808
    2882∛36 ≈ 6.6039
    289≈ 6.6115
    290≈ 6.6191
    Recalculate with different values ↑

    FAQ

    What is the cube root of 285?

    ∛285 ≈ 6.5808

    Can ∛285 be simplified?

    No: no prime appears three times in 285, so its only cube factor is 1 and ∛285 is already in simplest form. Since 6³ = 216 < 285 < 343 = 7³, ∛285 lies between 6 and 7: ∛285 ≈ 6.5808.

    Is ∛285 a rational number?

    No: 285 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 ∛285 is irrational; its decimal never ends and never repeats: ∛285 ≈ 6.5808.

    See Also