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    Cube Root of 1488

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,488?

    Answer

    ∛1,488 =
    2∛186 ≈ 11.4165

    Real cube root: the only number whose cube is 1,488.

    ≈ — rounded to 4 decimal places. 1,488 is not the cube of a rational number, so ∛1,488 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,488 = (2 × 2 × 2) × 2 × 3 × 31 = 2⁴ × 3 × 31
    Take out of the root
    ∛1,488 = ∛(2³ × 186) = 2∛186
    Between cubes
    11³ = 1,331 < 1,488 < 1,728 = 12³, so 11 < ∛1,488 < 12 and ∛1,488 ≈ 11.4165

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    https://calculat.io/en/number/cube-root/1488Copy
    <a href="https://calculat.io/en/number/cube-root/1488">Cube Root of 1488 (∛1488): Exact Value and Decimal</a>Copy
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    Cube Root of 1488 (∛1488): Exact Value and Decimal. ∛1,488 = 2∛186 ≈ 11.4165. 1,488 = 2³ × 186, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/1488/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,369≈ 11.1037
    1,3727∛4 ≈ 11.1118
    1,4589∛2 ≈ 11.3393
    1,4882∛186 ≈ 11.4165
    1,521≈ 11.5003
    1,5368∛3 ≈ 11.538
    1,700≈ 11.9348
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,488?

    ∛1,488 = 2∛186 ≈ 11.4165

    How to simplify ∛1,488?

    Factor 1,488 into primes: 1,488 = 2 × 2 × 2 × 2 × 3 × 31. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛1,488 = ∛(2³ × 186) = 2∛186.

    Is ∛1,488 a rational number?

    No: 1,488 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 ∛1,488 is irrational; its decimal never ends and never repeats: ∛1,488 ≈ 11.4165.

    See Also