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    Cube Root of 288

    Cube Root Calculator
    Cube root of

    What is the cube root of 288?

    Answer

    ∛288 =
    2∛36 ≈ 6.6039

    Real cube root: the only number whose cube is 288.

    ≈ — rounded to 4 decimal places. 288 is not the cube of a rational number, so ∛288 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    288 = (2 × 2 × 2) × 2 × 2 × 3 × 3 = 2⁵ × 3²
    Take out of the root
    ∛288 = ∛(2³ × 36) = 2∛36
    Between cubes
    6³ = 216 < 288 < 343 = 7³, so 6 < ∛288 < 7 and ∛288 ≈ 6.6039

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    https://calculat.io/en/number/cube-root/288Copy
    <a href="https://calculat.io/en/number/cube-root/288">Cube Root of 288 (∛288): Exact Value and Decimal</a>Copy
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    Cube Root of 288 (∛288): Exact Value and Decimal. ∛288 = 2∛36 ≈ 6.6039. 288 = 2³ × 36, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/288/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    279≈ 6.5343
    2802∛35 ≈ 6.5421
    285≈ 6.5808
    2882∛36 ≈ 6.6039
    289≈ 6.6115
    290≈ 6.6191
    292≈ 6.6343
    Recalculate with different values ↑

    FAQ

    What is the cube root of 288?

    ∛288 = 2∛36 ≈ 6.6039

    How to simplify ∛288?

    Factor 288 into primes: 288 = 2 × 2 × 2 × 2 × 2 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛288 = ∛(2³ × 36) = 2∛36.

    Is ∛288 a rational number?

    No: 288 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 ∛288 is irrational; its decimal never ends and never repeats: ∛288 ≈ 6.6039.

    See Also