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    Cube Root of 488

    Cube Root Calculator
    Cube root of

    What is the cube root of 488?

    Answer

    ∛488 =
    2∛61 ≈ 7.873

    Real cube root: the only number whose cube is 488.

    ≈ — rounded to 4 decimal places. 488 is not the cube of a rational number, so ∛488 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    488 = (2 × 2 × 2) × 61 = 2³ × 61
    Take out of the root
    ∛488 = ∛(2³ × 61) = 2∛61
    Between cubes
    7³ = 343 < 488 < 512 = 8³, so 7 < ∛488 < 8 and ∛488 ≈ 7.873

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    https://calculat.io/en/number/cube-root/488Copy
    <a href="https://calculat.io/en/number/cube-root/488">Cube Root of 488 (∛488): Exact Value and Decimal</a>Copy
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    Cube Root of 488 (∛488): Exact Value and Decimal. ∛488 = 2∛61 ≈ 7.873. 488 = 2³ × 61, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/488/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    458≈ 7.7082
    474.5527.8
    4802∛60 ≈ 7.8297
    4882∛61 ≈ 7.873
    490≈ 7.8837
    5005∛4 ≈ 7.937
    5128
    Recalculate with different values ↑

    FAQ

    What is the cube root of 488?

    ∛488 = 2∛61 ≈ 7.873

    How to simplify ∛488?

    Factor 488 into primes: 488 = 2 × 2 × 2 × 61. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛488 = ∛(2³ × 61) = 2∛61.

    Is ∛488 a rational number?

    No: 488 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 ∛488 is irrational; its decimal never ends and never repeats: ∛488 ≈ 7.873.

    See Also