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    Cube Root of 248

    Cube Root Calculator
    Cube root of

    What is the cube root of 248?

    Answer

    ∛248 =
    2∛31 ≈ 6.2828

    Real cube root: the only number whose cube is 248.

    ≈ — rounded to 4 decimal places. 248 is not the cube of a rational number, so ∛248 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    248 = (2 × 2 × 2) × 31 = 2³ × 31
    Take out of the root
    ∛248 = ∛(2³ × 31) = 2∛31
    Between cubes
    6³ = 216 < 248 < 343 = 7³, so 6 < ∛248 < 7 and ∛248 ≈ 6.2828

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    https://calculat.io/en/number/cube-root/248Copy
    <a href="https://calculat.io/en/number/cube-root/248">Cube Root of 248 (∛248): Exact Value and Decimal</a>Copy
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    Cube Root of 248 (∛248): Exact Value and Decimal. ∛248 = 2∛31 ≈ 6.2828. 248 = 2³ × 31, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/248/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2433∛9 ≈ 6.2403
    245≈ 6.2573
    247≈ 6.2743
    2482∛31 ≈ 6.2828
    2505∛2 ≈ 6.2996
    255≈ 6.3413
    2564∛4 ≈ 6.3496
    Recalculate with different values ↑

    FAQ

    What is the cube root of 248?

    ∛248 = 2∛31 ≈ 6.2828

    How to simplify ∛248?

    Factor 248 into primes: 248 = 2 × 2 × 2 × 31. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛248 = ∛(2³ × 31) = 2∛31.

    Is ∛248 a rational number?

    No: 248 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 ∛248 is irrational; its decimal never ends and never repeats: ∛248 ≈ 6.2828.

    See Also