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    Cube Root of 17

    Cube Root Calculator
    Cube root of

    What is the cube root of 17?

    Answer

    ∛17 ≈
    2.5713

    Real cube root: the only number whose cube is 17.

    ≈ — rounded to 4 decimal places. 17 is not the cube of a rational number, so ∛17 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    17 is a prime number: no triple of equal factors.
    Between cubes
    2³ = 8 < 17 < 27 = 3³, so 2 < ∛17 < 3 and ∛17 ≈ 2.5713

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    https://calculat.io/en/number/cube-root/17Copy
    <a href="https://calculat.io/en/number/cube-root/17">Cube Root of 17 (∛17): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 17 (∛17): Exact Value and Decimal. ∛17 ≈ 2.5713. 17 has no cube factor but 1, so ∛17 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/17/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    125/85/2 = 2.5
    15.6252.5
    162∛2 ≈ 2.5198
    17≈ 2.5713
    17.5≈ 2.5962
    18≈ 2.6207
    19≈ 2.6684
    Recalculate with different values ↑

    FAQ

    What is the cube root of 17?

    ∛17 ≈ 2.5713

    Can ∛17 be simplified?

    No: no prime appears three times in 17, so its only cube factor is 1 and ∛17 is already in simplest form. Since 2³ = 8 < 17 < 27 = 3³, ∛17 lies between 2 and 3: ∛17 ≈ 2.5713.

    Is ∛17 a rational number?

    No: 17 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 ∛17 is irrational; its decimal never ends and never repeats: ∛17 ≈ 2.5713.

    See Also