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    Cube Root of 13

    Cube Root Calculator
    Cube root of

    What is the cube root of 13?

    Answer

    ∛13 ≈
    2.3513

    Real cube root: the only number whose cube is 13.

    ≈ — rounded to 4 decimal places. 13 is not the cube of a rational number, so ∛13 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    13 is a prime number: no triple of equal factors.
    Between cubes
    2³ = 8 < 13 < 27 = 3³, so 2 < ∛13 < 3 and ∛13 ≈ 2.3513

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    https://calculat.io/en/number/cube-root/13Copy
    <a href="https://calculat.io/en/number/cube-root/13">Cube Root of 13 (∛13): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 13 (∛13): Exact Value and Decimal. ∛13 ≈ 2.3513. 13 has no cube factor but 1, so ∛13 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/13/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    11≈ 2.224
    12≈ 2.2894
    12.1672.3
    13≈ 2.3513
    14≈ 2.4101
    15≈ 2.4662
    125/85/2 = 2.5
    Recalculate with different values ↑

    FAQ

    What is the cube root of 13?

    ∛13 ≈ 2.3513

    Can ∛13 be simplified?

    No: no prime appears three times in 13, so its only cube factor is 1 and ∛13 is already in simplest form. Since 2³ = 8 < 13 < 27 = 3³, ∛13 lies between 2 and 3: ∛13 ≈ 2.3513.

    Is ∛13 a rational number?

    No: 13 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 ∛13 is irrational; its decimal never ends and never repeats: ∛13 ≈ 2.3513.

    See Also