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 480

    Cube Root Calculator
    Cube root of

    What is the cube root of 480?

    Answer

    ∛480 =
    2∛60 ≈ 7.8297

    Real cube root: the only number whose cube is 480.

    ≈ — rounded to 4 decimal places. 480 is not the cube of a rational number, so ∛480 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    480 = (2 × 2 × 2) × 2 × 2 × 3 × 5 = 2⁵ × 3 × 5
    Take out of the root
    ∛480 = ∛(2³ × 60) = 2∛60
    Between cubes
    7³ = 343 < 480 < 512 = 8³, so 7 < ∛480 < 8 and ∛480 ≈ 7.8297

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/480Copy
    <a href="https://calculat.io/en/number/cube-root/480">Cube Root of 480 (∛480): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 480 (∛480): Exact Value and Decimal. ∛480 = 2∛60 ≈ 7.8297. 480 = 2³ × 60, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/480/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    450≈ 7.6631
    458≈ 7.7082
    474.5527.8
    4802∛60 ≈ 7.8297
    4882∛61 ≈ 7.873
    490≈ 7.8837
    5005∛4 ≈ 7.937
    Recalculate with different values ↑

    FAQ

    What is the cube root of 480?

    ∛480 = 2∛60 ≈ 7.8297

    How to simplify ∛480?

    Factor 480 into primes: 480 = 2 × 2 × 2 × 2 × 2 × 3 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛480 = ∛(2³ × 60) = 2∛60.

    Is ∛480 a rational number?

    No: 480 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 ∛480 is irrational; its decimal never ends and never repeats: ∛480 ≈ 7.8297.

    See Also