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    Cube Root of 27225

    Cube Root Calculator
    Cube root of

    What is the cube root of 27,225?

    Answer

    ∛27,225 ≈
    30.0831

    Real cube root: the only number whose cube is 27,225.

    ≈ — rounded to 4 decimal places. 27,225 is not the cube of a rational number, so ∛27,225 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    27,225 = 3 × 3 × 5 × 5 × 11 × 11 = 3² × 5² × 11²
    Take out of the root
    No prime appears three times, so ∛27,225 is already in simplest form.
    Between cubes
    30³ = 27,000 < 27,225 < 29,791 = 31³, so 30 < ∛27,225 < 31 and ∛27,225 ≈ 30.0831

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    https://calculat.io/en/number/cube-root/27225Copy
    <a href="https://calculat.io/en/number/cube-root/27225">Cube Root of 27225 (∛27225): Exact Value and Decimal</a>Copy
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    Cube Root of 27225 (∛27225): Exact Value and Decimal. ∛27,225 ≈ 30.0831. 27,225 has no cube factor but 1, so ∛27,225 is already simplest; it lies between 30 and 31.
    https://calculat.io/en/number/cube-root/27225/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    23,32818∛4 ≈ 28.5732
    24,38929
    27,00030
    27,225≈ 30.0831
    29,79131
    32,76832
    35,93733
    Recalculate with different values ↑

    FAQ

    What is the cube root of 27,225?

    ∛27,225 ≈ 30.0831

    Can ∛27,225 be simplified?

    No: no prime appears three times in 27,225, so its only cube factor is 1 and ∛27,225 is already in simplest form. Since 30³ = 27,000 < 27,225 < 29,791 = 31³, ∛27,225 lies between 30 and 31: ∛27,225 ≈ 30.0831.

    Is ∛27,225 a rational number?

    No: 27,225 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 ∛27,225 is irrational; its decimal never ends and never repeats: ∛27,225 ≈ 30.0831.

    See Also