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    Cube Root of 280

    Cube Root Calculator
    Cube root of

    What is the cube root of 280?

    Answer

    ∛280 =
    2∛35 ≈ 6.5421

    Real cube root: the only number whose cube is 280.

    ≈ — rounded to 4 decimal places. 280 is not the cube of a rational number, so ∛280 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    280 = (2 × 2 × 2) × 5 × 7 = 2³ × 5 × 7
    Take out of the root
    ∛280 = ∛(2³ × 35) = 2∛35
    Between cubes
    6³ = 216 < 280 < 343 = 7³, so 6 < ∛280 < 7 and ∛280 ≈ 6.5421

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    https://calculat.io/en/number/cube-root/280Copy
    <a href="https://calculat.io/en/number/cube-root/280">Cube Root of 280 (∛280): Exact Value and Decimal</a>Copy
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    Cube Root of 280 (∛280): Exact Value and Decimal. ∛280 = 2∛35 ≈ 6.5421. 280 = 2³ × 35, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/280/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    258≈ 6.3661
    276≈ 6.5108
    279≈ 6.5343
    2802∛35 ≈ 6.5421
    285≈ 6.5808
    2882∛36 ≈ 6.6039
    289≈ 6.6115
    Recalculate with different values ↑

    FAQ

    What is the cube root of 280?

    ∛280 = 2∛35 ≈ 6.5421

    How to simplify ∛280?

    Factor 280 into primes: 280 = 2 × 2 × 2 × 5 × 7. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛280 = ∛(2³ × 35) = 2∛35.

    Is ∛280 a rational number?

    No: 280 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 ∛280 is irrational; its decimal never ends and never repeats: ∛280 ≈ 6.5421.

    See Also