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    Cube Root of 15

    Cube Root Calculator
    Cube root of

    What is the cube root of 15?

    Answer

    ∛15 ≈
    2.4662

    Real cube root: the only number whose cube is 15.

    ≈ — rounded to 4 decimal places. 15 is not the cube of a rational number, so ∛15 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    15 = 3 × 5
    Take out of the root
    No prime appears three times, so ∛15 is already in simplest form.
    Between cubes
    2³ = 8 < 15 < 27 = 3³, so 2 < ∛15 < 3 and ∛15 ≈ 2.4662

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    https://calculat.io/en/number/cube-root/15Copy
    <a href="https://calculat.io/en/number/cube-root/15">Cube Root of 15 (∛15): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 15 (∛15): Exact Value and Decimal. ∛15 ≈ 2.4662. 15 has no cube factor but 1, so ∛15 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/15/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    12.1672.3
    13≈ 2.3513
    14≈ 2.4101
    15≈ 2.4662
    125/85/2 = 2.5
    15.6252.5
    162∛2 ≈ 2.5198
    Recalculate with different values ↑

    FAQ

    What is the cube root of 15?

    ∛15 ≈ 2.4662

    Can ∛15 be simplified?

    No: no prime appears three times in 15, so its only cube factor is 1 and ∛15 is already in simplest form. Since 2³ = 8 < 15 < 27 = 3³, ∛15 lies between 2 and 3: ∛15 ≈ 2.4662.

    Is ∛15 a rational number?

    No: 15 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 ∛15 is irrational; its decimal never ends and never repeats: ∛15 ≈ 2.4662.

    See Also