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    Cube Root of 527

    Cube Root Calculator
    Cube root of

    What is the cube root of 527?

    Answer

    ∛527 ≈
    8.0774

    Real cube root: the only number whose cube is 527.

    ≈ — rounded to 4 decimal places. 527 is not the cube of a rational number, so ∛527 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    527 = 17 × 31
    Take out of the root
    No prime appears three times, so ∛527 is already in simplest form.
    Between cubes
    8³ = 512 < 527 < 729 = 9³, so 8 < ∛527 < 9 and ∛527 ≈ 8.0774

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    https://calculat.io/en/number/cube-root/527Copy
    <a href="https://calculat.io/en/number/cube-root/527">Cube Root of 527 (∛527): Exact Value and Decimal</a>Copy
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    Cube Root of 527 (∛527): Exact Value and Decimal. ∛527 ≈ 8.0774. 527 has no cube factor but 1, so ∛527 is already simplest; it lies between 8 and 9.
    https://calculat.io/en/number/cube-root/527/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    490≈ 7.8837
    5005∛4 ≈ 7.937
    5128
    527≈ 8.0774
    529≈ 8.0876
    620≈ 8.527
    6255∛5 ≈ 8.5499
    Recalculate with different values ↑

    FAQ

    What is the cube root of 527?

    ∛527 ≈ 8.0774

    Can ∛527 be simplified?

    No: no prime appears three times in 527, so its only cube factor is 1 and ∛527 is already in simplest form. Since 8³ = 512 < 527 < 729 = 9³, ∛527 lies between 8 and 9: ∛527 ≈ 8.0774.

    Is ∛527 a rational number?

    No: 527 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 ∛527 is irrational; its decimal never ends and never repeats: ∛527 ≈ 8.0774.

    See Also