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    Cube Root of 500

    Cube Root Calculator
    Cube root of

    What is the cube root of 500?

    Answer

    ∛500 =
    5∛4 ≈ 7.937

    Real cube root: the only number whose cube is 500.

    ≈ — rounded to 4 decimal places. 500 is not the cube of a rational number, so ∛500 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    500 = 2 × 2 × (5 × 5 × 5) = 2² × 5³
    Take out of the root
    ∛500 = ∛(5³ × 4) = 5∛4
    Between cubes
    7³ = 343 < 500 < 512 = 8³, so 7 < ∛500 < 8 and ∛500 ≈ 7.937

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    https://calculat.io/en/number/cube-root/500Copy
    <a href="https://calculat.io/en/number/cube-root/500">Cube Root of 500 (∛500): Exact Value and Decimal</a>Copy
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    Cube Root of 500 (∛500): Exact Value and Decimal. ∛500 = 5∛4 ≈ 7.937. 500 = 5³ × 4, so 5 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/500/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4802∛60 ≈ 7.8297
    4882∛61 ≈ 7.873
    490≈ 7.8837
    5005∛4 ≈ 7.937
    5128
    527≈ 8.0774
    529≈ 8.0876
    Recalculate with different values ↑

    FAQ

    What is the cube root of 500?

    ∛500 = 5∛4 ≈ 7.937

    How to simplify ∛500?

    Factor 500 into primes: 500 = 2 × 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: ∛500 = ∛(5³ × 4) = 5∛4.

    Is ∛500 a rational number?

    No: 500 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 ∛500 is irrational; its decimal never ends and never repeats: ∛500 ≈ 7.937.

    See Also