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    Cube Root of 5382

    Cube Root Calculator
    Cube root of

    What is the cube root of 5,382?

    Answer

    ∛5,382 ≈
    17.5246

    Real cube root: the only number whose cube is 5,382.

    ≈ — rounded to 4 decimal places. 5,382 is not the cube of a rational number, so ∛5,382 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    5,382 = 2 × 3 × 3 × 13 × 23 = 2 × 3² × 13 × 23
    Take out of the root
    No prime appears three times, so ∛5,382 is already in simplest form.
    Between cubes
    17³ = 4,913 < 5,382 < 5,832 = 18³, so 17 < ∛5,382 < 18 and ∛5,382 ≈ 17.5246

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    https://calculat.io/en/number/cube-root/5382Copy
    <a href="https://calculat.io/en/number/cube-root/5382">Cube Root of 5382 (∛5382): Exact Value and Decimal</a>Copy
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    Cube Root of 5382 (∛5382): Exact Value and Decimal. ∛5,382 ≈ 17.5246. 5,382 has no cube factor but 1, so ∛5,382 is already simplest; it lies between 17 and 18.
    https://calculat.io/en/number/cube-root/5382/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4,5005∛36 ≈ 16.5096
    4,900≈ 16.985
    4,91317
    5,382≈ 17.5246
    5,48814∛2 ≈ 17.6389
    5,83218
    6,85919
    Recalculate with different values ↑

    FAQ

    What is the cube root of 5,382?

    ∛5,382 ≈ 17.5246

    Can ∛5,382 be simplified?

    No: no prime appears three times in 5,382, so its only cube factor is 1 and ∛5,382 is already in simplest form. Since 17³ = 4,913 < 5,382 < 5,832 = 18³, ∛5,382 lies between 17 and 18: ∛5,382 ≈ 17.5246.

    Is ∛5,382 a rational number?

    No: 5,382 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 ∛5,382 is irrational; its decimal never ends and never repeats: ∛5,382 ≈ 17.5246.

    See Also