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    Cube Root of 2024

    Cube Root Calculator
    Cube root of

    What is the cube root of 2,024?

    Answer

    ∛2,024 =
    2∛253 ≈ 12.6494

    Real cube root: the only number whose cube is 2,024.

    ≈ — rounded to 4 decimal places. 2,024 is not the cube of a rational number, so ∛2,024 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    2,024 = (2 × 2 × 2) × 11 × 23 = 2³ × 11 × 23
    Take out of the root
    ∛2,024 = ∛(2³ × 253) = 2∛253
    Between cubes
    12³ = 1,728 < 2,024 < 2,197 = 13³, so 12 < ∛2,024 < 13 and ∛2,024 ≈ 12.6494

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    https://calculat.io/en/number/cube-root/2024Copy
    <a href="https://calculat.io/en/number/cube-root/2024">Cube Root of 2024 (∛2024): Exact Value and Decimal</a>Copy
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    Cube Root of 2024 (∛2024): Exact Value and Decimal. ∛2,024 = 2∛253 ≈ 12.6494. 2,024 = 2³ × 253, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/2024/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,8002∛225 ≈ 12.1644
    2,00010∛2 ≈ 12.5992
    2,007≈ 12.6139
    2,0242∛253 ≈ 12.6494
    2,19713
    2,2002∛275 ≈ 13.0059
    2,300≈ 13.2001
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2,024?

    ∛2,024 = 2∛253 ≈ 12.6494

    How to simplify ∛2,024?

    Factor 2,024 into primes: 2,024 = 2 × 2 × 2 × 11 × 23. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛2,024 = ∛(2³ × 253) = 2∛253.

    Is ∛2,024 a rational number?

    No: 2,024 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 ∛2,024 is irrational; its decimal never ends and never repeats: ∛2,024 ≈ 12.6494.

    See Also