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    Cube Root of 250

    Cube Root Calculator
    Cube root of

    What is the cube root of 250?

    Answer

    ∛250 =
    5∛2 ≈ 6.2996

    Real cube root: the only number whose cube is 250.

    ≈ — rounded to 4 decimal places. 250 is not the cube of a rational number, so ∛250 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    250 = 2 × (5 × 5 × 5) = 2 × 5³
    Take out of the root
    ∛250 = ∛(5³ × 2) = 5∛2
    Between cubes
    6³ = 216 < 250 < 343 = 7³, so 6 < ∛250 < 7 and ∛250 ≈ 6.2996

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    https://calculat.io/en/number/cube-root/250Copy
    <a href="https://calculat.io/en/number/cube-root/250">Cube Root of 250 (∛250): Exact Value and Decimal</a>Copy
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    Cube Root of 250 (∛250): Exact Value and Decimal. ∛250 = 5∛2 ≈ 6.2996. 250 = 5³ × 2, so 5 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/250/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    245≈ 6.2573
    247≈ 6.2743
    2482∛31 ≈ 6.2828
    2505∛2 ≈ 6.2996
    255≈ 6.3413
    2564∛4 ≈ 6.3496
    257≈ 6.3579
    Recalculate with different values ↑

    FAQ

    What is the cube root of 250?

    ∛250 = 5∛2 ≈ 6.2996

    How to simplify ∛250?

    Factor 250 into primes: 250 = 2 × 5 × 5 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛250 = ∛(5³ × 2) = 5∛2.

    Is ∛250 a rational number?

    No: 250 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 ∛250 is irrational; its decimal never ends and never repeats: ∛250 ≈ 6.2996.

    See Also