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 1080

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,080?

    Answer

    ∛1,080 =
    6∛5 ≈ 10.2599

    Real cube root: the only number whose cube is 1,080.

    ≈ — rounded to 4 decimal places. 1,080 is not the cube of a rational number, so ∛1,080 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,080 = (2 × 2 × 2) × (3 × 3 × 3) × 5 = 2³ × 3³ × 5
    Take out of the root
    ∛1,080 = ∛(2³ × 3³ × 5) = 2 × 3 × ∛5 = 6∛5
    Between cubes
    10³ = 1,000 < 1,080 < 1,331 = 11³, so 10 < ∛1,080 < 11 and ∛1,080 ≈ 10.2599

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/1080Copy
    <a href="https://calculat.io/en/number/cube-root/1080">Cube Root of 1080 (∛1080): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 1080 (∛1080): Exact Value and Decimal. ∛1,080 = 6∛5 ≈ 10.2599. 1,080 = 6³ × 5, so 6 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/1080/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,001≈ 10.0033
    1,0248∛2 ≈ 10.0794
    1,0297∛3 ≈ 10.0957
    1,0806∛5 ≈ 10.2599
    1,089≈ 10.2883
    1,1255∛9 ≈ 10.4004
    1,2002∛150 ≈ 10.6266
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,080?

    ∛1,080 = 6∛5 ≈ 10.2599

    How to simplify ∛1,080?

    Factor 1,080 into primes: 1,080 = 2 × 2 × 2 × 3 × 3 × 3 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛1,080 = ∛(2³ × 3³ × 5) = 6∛5.

    Is ∛1,080 a rational number?

    No: 1,080 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 ∛1,080 is irrational; its decimal never ends and never repeats: ∛1,080 ≈ 10.2599.

    See Also