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 330

    Cube Root Calculator
    Cube root of

    What is the cube root of 330?

    Answer

    ∛330 ≈
    6.9104

    Real cube root: the only number whose cube is 330.

    ≈ — rounded to 4 decimal places. 330 is not the cube of a rational number, so ∛330 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    330 = 2 × 3 × 5 × 11
    Take out of the root
    No prime appears three times, so ∛330 is already in simplest form.
    Between cubes
    6³ = 216 < 330 < 343 = 7³, so 6 < ∛330 < 7 and ∛330 ≈ 6.9104

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/330Copy
    <a href="https://calculat.io/en/number/cube-root/330">Cube Root of 330 (∛330): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 330 (∛330): Exact Value and Decimal. ∛330 ≈ 6.9104. 330 has no cube factor but 1, so ∛330 is already simplest; it lies between 6 and 7.
    https://calculat.io/en/number/cube-root/330/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    325≈ 6.8753
    327≈ 6.8894
    329≈ 6.9034
    330≈ 6.9104
    331≈ 6.9174
    3362∛42 ≈ 6.9521
    3437
    Recalculate with different values ↑

    FAQ

    What is the cube root of 330?

    ∛330 ≈ 6.9104

    Can ∛330 be simplified?

    No: no prime appears three times in 330, so its only cube factor is 1 and ∛330 is already in simplest form. Since 6³ = 216 < 330 < 343 = 7³, ∛330 lies between 6 and 7: ∛330 ≈ 6.9104.

    Is ∛330 a rational number?

    No: 330 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 ∛330 is irrational; its decimal never ends and never repeats: ∛330 ≈ 6.9104.

    See Also