Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Cube Root of 1001

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,001?

    Answer

    ∛1,001 ≈
    10.0033

    Real cube root: the only number whose cube is 1,001.

    ≈ — rounded to 4 decimal places. 1,001 is not the cube of a rational number, so ∛1,001 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,001 = 7 × 11 × 13
    Take out of the root
    No prime appears three times, so ∛1,001 is already in simplest form.
    Between cubes
    10³ = 1,000 < 1,001 < 1,331 = 11³, so 10 < ∛1,001 < 11 and ∛1,001 ≈ 10.0033

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/1001Copy
    <a href="https://calculat.io/en/number/cube-root/1001">Cube Root of 1001 (∛1001): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 1001 (∛1001): Exact Value and Decimal. ∛1,001 ≈ 10.0033. 1,001 has no cube factor but 1, so ∛1,001 is already simplest; it lies between 10 and 11.
    https://calculat.io/en/number/cube-root/1001/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    998≈ 9.9933
    9993∛37 ≈ 9.9967
    1,00010
    1,001≈ 10.0033
    1,0248∛2 ≈ 10.0794
    1,0297∛3 ≈ 10.0957
    1,0806∛5 ≈ 10.2599
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,001?

    ∛1,001 ≈ 10.0033

    Can ∛1,001 be simplified?

    No: no prime appears three times in 1,001, so its only cube factor is 1 and ∛1,001 is already in simplest form. Since 10³ = 1,000 < 1,001 < 1,331 = 11³, ∛1,001 lies between 10 and 11: ∛1,001 ≈ 10.0033.

    Is ∛1,001 a rational number?

    No: 1,001 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 ∛1,001 is irrational; its decimal never ends and never repeats: ∛1,001 ≈ 10.0033.

    See Also