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    Cube Root of 3

    Cube Root Calculator
    Cube root of

    What is the cube root of 3?

    Answer

    ∛3 ≈
    1.4422

    Real cube root: the only number whose cube is 3.

    ≈ — rounded to 4 decimal places. 3 is not the cube of a rational number, so ∛3 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    3 is a prime number: no triple of equal factors.
    Between cubes
    1³ = 1 < 3 < 8 = 2³, so 1 < ∛3 < 2 and ∛3 ≈ 1.4422

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    https://calculat.io/en/number/cube-root/3Copy
    <a href="https://calculat.io/en/number/cube-root/3">Cube Root of 3 (∛3): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 3 (∛3): Exact Value and Decimal. ∛3 ≈ 1.4422. 3 has no cube factor but 1, so ∛3 is already simplest; it lies between 1 and 2.
    https://calculat.io/en/number/cube-root/3/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2.7≈ 1.3925
    2.7441.4
    2.8≈ 1.4095
    3≈ 1.4422
    27/83/2 = 1.5
    3.3751.5
    4≈ 1.5874
    Recalculate with different values ↑

    FAQ

    What is the cube root of 3?

    ∛3 ≈ 1.4422

    Can ∛3 be simplified?

    No: no prime appears three times in 3, so its only cube factor is 1 and ∛3 is already in simplest form. Since 1³ = 1 < 3 < 8 = 2³, ∛3 lies between 1 and 2: ∛3 ≈ 1.4422.

    Is ∛3 a rational number?

    No: 3 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 ∛3 is irrational; its decimal never ends and never repeats: ∛3 ≈ 1.4422.

    See Also