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    Cube Root of 8788

    Cube Root Calculator
    Cube root of

    What is the cube root of 8,788?

    Answer

    ∛8,788 =
    13∛4 ≈ 20.6362

    Real cube root: the only number whose cube is 8,788.

    ≈ — rounded to 4 decimal places. 8,788 is not the cube of a rational number, so ∛8,788 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    8,788 = 2 × 2 × (13 × 13 × 13) = 2² × 13³
    Take out of the root
    ∛8,788 = ∛(13³ × 4) = 13∛4
    Between cubes
    20³ = 8,000 < 8,788 < 9,261 = 21³, so 20 < ∛8,788 < 21 and ∛8,788 ≈ 20.6362

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    https://calculat.io/en/number/cube-root/8788Copy
    <a href="https://calculat.io/en/number/cube-root/8788">Cube Root of 8788 (∛8788): Exact Value and Decimal</a>Copy
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    Cube Root of 8788 (∛8788): Exact Value and Decimal. ∛8,788 = 13∛4 ≈ 20.6362. 8,788 = 13³ × 4, so 13 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/8788/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    7,2909∛10 ≈ 19.3899
    7,7766∛36 ≈ 19.8116
    8,00020
    8,78813∛4 ≈ 20.6362
    9,26121
    9,621≈ 21.2687
    9,999≈ 21.5436
    Recalculate with different values ↑

    FAQ

    What is the cube root of 8,788?

    ∛8,788 = 13∛4 ≈ 20.6362

    How to simplify ∛8,788?

    Factor 8,788 into primes: 8,788 = 2 × 2 × 13 × 13 × 13. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛8,788 = ∛(13³ × 4) = 13∛4.

    Is ∛8,788 a rational number?

    No: 8,788 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 ∛8,788 is irrational; its decimal never ends and never repeats: ∛8,788 ≈ 20.6362.

    See Also