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    Cube Root of 6

    Cube Root Calculator
    Cube root of

    What is the cube root of 6?

    Answer

    ∛6 ≈
    1.8171

    Real cube root: the only number whose cube is 6.

    ≈ — rounded to 4 decimal places. 6 is not the cube of a rational number, so ∛6 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    6 = 2 × 3
    Take out of the root
    No prime appears three times, so ∛6 is already in simplest form.
    Between cubes
    1³ = 1 < 6 < 8 = 2³, so 1 < ∛6 < 2 and ∛6 ≈ 1.8171

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    https://calculat.io/en/number/cube-root/6Copy
    <a href="https://calculat.io/en/number/cube-root/6">Cube Root of 6 (∛6): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 6 (∛6): Exact Value and Decimal. ∛6 ≈ 1.8171. 6 has no cube factor but 1, so ∛6 is already simplest; it lies between 1 and 2.
    https://calculat.io/en/number/cube-root/6/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    4.9131.7
    5≈ 1.71
    5.8321.8
    6≈ 1.8171
    6.8591.9
    7≈ 1.9129
    82
    Recalculate with different values ↑

    FAQ

    What is the cube root of 6?

    ∛6 ≈ 1.8171

    Can ∛6 be simplified?

    No: no prime appears three times in 6, so its only cube factor is 1 and ∛6 is already in simplest form. Since 1³ = 1 < 6 < 8 = 2³, ∛6 lies between 1 and 2: ∛6 ≈ 1.8171.

    Is ∛6 a rational number?

    No: 6 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 ∛6 is irrational; its decimal never ends and never repeats: ∛6 ≈ 1.8171.

    See Also