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    Cube Root of 23

    Cube Root Calculator
    Cube root of

    What is the cube root of 23?

    Answer

    ∛23 ≈
    2.8439

    Real cube root: the only number whose cube is 23.

    ≈ — rounded to 4 decimal places. 23 is not the cube of a rational number, so ∛23 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    23 is a prime number: no triple of equal factors.
    Between cubes
    2³ = 8 < 23 < 27 = 3³, so 2 < ∛23 < 3 and ∛23 ≈ 2.8439

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    https://calculat.io/en/number/cube-root/23Copy
    <a href="https://calculat.io/en/number/cube-root/23">Cube Root of 23 (∛23): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 23 (∛23): Exact Value and Decimal. ∛23 ≈ 2.8439. 23 has no cube factor but 1, so ∛23 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/23/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    20.25≈ 2.7257
    21≈ 2.7589
    22≈ 2.802
    23≈ 2.8439
    242∛3 ≈ 2.8845
    25≈ 2.924
    26≈ 2.9625
    Recalculate with different values ↑

    FAQ

    What is the cube root of 23?

    ∛23 ≈ 2.8439

    Can ∛23 be simplified?

    No: no prime appears three times in 23, so its only cube factor is 1 and ∛23 is already in simplest form. Since 2³ = 8 < 23 < 27 = 3³, ∛23 lies between 2 and 3: ∛23 ≈ 2.8439.

    Is ∛23 a rational number?

    No: 23 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 ∛23 is irrational; its decimal never ends and never repeats: ∛23 ≈ 2.8439.

    See Also