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    Cube Root of 88

    Cube Root Calculator
    Cube root of

    What is the cube root of 88?

    Answer

    ∛88 =
    2∛11 ≈ 4.448

    Real cube root: the only number whose cube is 88.

    ≈ — rounded to 4 decimal places. 88 is not the cube of a rational number, so ∛88 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    88 = (2 × 2 × 2) × 11 = 2³ × 11
    Take out of the root
    ∛88 = ∛(2³ × 11) = 2∛11
    Between cubes
    4³ = 64 < 88 < 125 = 5³, so 4 < ∛88 < 5 and ∛88 ≈ 4.448

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    https://calculat.io/en/number/cube-root/88Copy
    <a href="https://calculat.io/en/number/cube-root/88">Cube Root of 88 (∛88): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 88 (∛88): Exact Value and Decimal. ∛88 = 2∛11 ≈ 4.448. 88 = 2³ × 11, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/88/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    85≈ 4.3968
    86≈ 4.414
    87≈ 4.431
    882∛11 ≈ 4.448
    89≈ 4.4647
    90≈ 4.4814
    91≈ 4.4979
    Recalculate with different values ↑

    FAQ

    What is the cube root of 88?

    ∛88 = 2∛11 ≈ 4.448

    How to simplify ∛88?

    Factor 88 into primes: 88 = 2 × 2 × 2 × 11. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛88 = ∛(2³ × 11) = 2∛11.

    Is ∛88 a rational number?

    No: 88 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 ∛88 is irrational; its decimal never ends and never repeats: ∛88 ≈ 4.448.

    See Also