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    Cube Root of 5488

    Cube Root Calculator
    Cube root of

    What is the cube root of 5,488?

    Answer

    ∛5,488 =
    14∛2 ≈ 17.6389

    Real cube root: the only number whose cube is 5,488.

    ≈ — rounded to 4 decimal places. 5,488 is not the cube of a rational number, so ∛5,488 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    5,488 = (2 × 2 × 2) × 2 × (7 × 7 × 7) = 2⁴ × 7³
    Take out of the root
    ∛5,488 = ∛(2³ × 7³ × 2) = 2 × 7 × ∛2 = 14∛2
    Between cubes
    17³ = 4,913 < 5,488 < 5,832 = 18³, so 17 < ∛5,488 < 18 and ∛5,488 ≈ 17.6389

    See Also

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    https://calculat.io/en/number/cube-root/5488Copy
    <a href="https://calculat.io/en/number/cube-root/5488">Cube Root of 5488 (∛5488): Exact Value and Decimal</a>Copy
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    Cube Root of 5488 (∛5488): Exact Value and Decimal. ∛5,488 = 14∛2 ≈ 17.6389. 5,488 = 14³ × 2, so 14 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/5488/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4,900≈ 16.985
    4,91317
    5,382≈ 17.5246
    5,48814∛2 ≈ 17.6389
    5,83218
    6,85919
    7,2909∛10 ≈ 19.3899
    Recalculate with different values ↑

    FAQ

    What is the cube root of 5,488?

    ∛5,488 = 14∛2 ≈ 17.6389

    How to simplify ∛5,488?

    Factor 5,488 into primes: 5,488 = 2 × 2 × 2 × 2 × 7 × 7 × 7. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛5,488 = ∛(2³ × 7³ × 2) = 14∛2.

    Is ∛5,488 a rational number?

    No: 5,488 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 ∛5,488 is irrational; its decimal never ends and never repeats: ∛5,488 ≈ 17.6389.

    See Also