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    Cube Root of 19

    Cube Root Calculator
    Cube root of

    What is the cube root of 19?

    Answer

    ∛19 ≈
    2.6684

    Real cube root: the only number whose cube is 19.

    ≈ — rounded to 4 decimal places. 19 is not the cube of a rational number, so ∛19 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    19 is a prime number: no triple of equal factors.
    Between cubes
    2³ = 8 < 19 < 27 = 3³, so 2 < ∛19 < 3 and ∛19 ≈ 2.6684

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    https://calculat.io/en/number/cube-root/19Copy
    <a href="https://calculat.io/en/number/cube-root/19">Cube Root of 19 (∛19): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 19 (∛19): Exact Value and Decimal. ∛19 ≈ 2.6684. 19 has no cube factor but 1, so ∛19 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/19/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    17≈ 2.5713
    17.5≈ 2.5962
    18≈ 2.6207
    19≈ 2.6684
    20≈ 2.7144
    20.25≈ 2.7257
    21≈ 2.7589
    Recalculate with different values ↑

    FAQ

    What is the cube root of 19?

    ∛19 ≈ 2.6684

    Can ∛19 be simplified?

    No: no prime appears three times in 19, so its only cube factor is 1 and ∛19 is already in simplest form. Since 2³ = 8 < 19 < 27 = 3³, ∛19 lies between 2 and 3: ∛19 ≈ 2.6684.

    Is ∛19 a rational number?

    No: 19 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 ∛19 is irrational; its decimal never ends and never repeats: ∛19 ≈ 2.6684.

    See Also