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    Cube Root of 2007

    Cube Root Calculator
    Cube root of

    What is the cube root of 2,007?

    Answer

    ∛2,007 ≈
    12.6139

    Real cube root: the only number whose cube is 2,007.

    ≈ — rounded to 4 decimal places. 2,007 is not the cube of a rational number, so ∛2,007 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    2,007 = 3 × 3 × 223 = 3² × 223
    Take out of the root
    No prime appears three times, so ∛2,007 is already in simplest form.
    Between cubes
    12³ = 1,728 < 2,007 < 2,197 = 13³, so 12 < ∛2,007 < 13 and ∛2,007 ≈ 12.6139

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    https://calculat.io/en/number/cube-root/2007Copy
    <a href="https://calculat.io/en/number/cube-root/2007">Cube Root of 2007 (∛2007): Exact Value and Decimal</a>Copy
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    Cube Root of 2007 (∛2007): Exact Value and Decimal. ∛2,007 ≈ 12.6139. 2,007 has no cube factor but 1, so ∛2,007 is already simplest; it lies between 12 and 13.
    https://calculat.io/en/number/cube-root/2007/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,738≈ 12.0231
    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
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2,007?

    ∛2,007 ≈ 12.6139

    Can ∛2,007 be simplified?

    No: no prime appears three times in 2,007, so its only cube factor is 1 and ∛2,007 is already in simplest form. Since 12³ = 1,728 < 2,007 < 2,197 = 13³, ∛2,007 lies between 12 and 13: ∛2,007 ≈ 12.6139.

    Is ∛2,007 a rational number?

    No: 2,007 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 ∛2,007 is irrational; its decimal never ends and never repeats: ∛2,007 ≈ 12.6139.

    See Also