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    Cube Root of 4

    Cube Root Calculator
    Cube root of

    What is the cube root of 4?

    Answer

    ∛4 ≈
    1.5874

    Real cube root: the only number whose cube is 4.

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

    Prime factors
    4 = 2 × 2 = 2²
    Take out of the root
    No prime appears three times, so ∛4 is already in simplest form.
    Between cubes
    1³ = 1 < 4 < 8 = 2³, so 1 < ∛4 < 2 and ∛4 ≈ 1.5874

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    https://calculat.io/en/number/cube-root/4Copy
    <a href="https://calculat.io/en/number/cube-root/4">Cube Root of 4 (∛4): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 4 (∛4): Exact Value and Decimal. ∛4 ≈ 1.5874. 4 has no cube factor but 1, so ∛4 is already simplest; it lies between 1 and 2.
    https://calculat.io/en/number/cube-root/4/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    3≈ 1.4422
    27/83/2 = 1.5
    3.3751.5
    4≈ 1.5874
    4.0961.6
    4.5≈ 1.651
    9/2∛36/2 ≈ 1.651
    Recalculate with different values ↑

    FAQ

    What is the cube root of 4?

    ∛4 ≈ 1.5874

    Can ∛4 be simplified?

    No: no prime appears three times in 4, so its only cube factor is 1 and ∛4 is already in simplest form. Since 1³ = 1 < 4 < 8 = 2³, ∛4 lies between 1 and 2: ∛4 ≈ 1.5874.

    Is ∛4 a rational number?

    No: 4 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 ∛4 is irrational; its decimal never ends and never repeats: ∛4 ≈ 1.5874.

    See Also