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    Cube Root of 9

    Cube Root Calculator
    Cube root of

    What is the cube root of 9?

    Answer

    ∛9 ≈
    2.0801

    Real cube root: the only number whose cube is 9.

    ≈ — rounded to 4 decimal places. 9 is not the cube of a rational number, so ∛9 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    9 = 3 × 3 = 3²
    Take out of the root
    No prime appears three times, so ∛9 is already in simplest form.
    Between cubes
    2³ = 8 < 9 < 27 = 3³, so 2 < ∛9 < 3 and ∛9 ≈ 2.0801

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    https://calculat.io/en/number/cube-root/9Copy
    <a href="https://calculat.io/en/number/cube-root/9">Cube Root of 9 (∛9): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 9 (∛9): Exact Value and Decimal. ∛9 ≈ 2.0801. 9 has no cube factor but 1, so ∛9 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/9/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    6.8591.9
    7≈ 1.9129
    82
    9≈ 2.0801
    9.2612.1
    10≈ 2.1544
    11≈ 2.224
    Recalculate with different values ↑

    FAQ

    What is the cube root of 9?

    ∛9 ≈ 2.0801

    Can ∛9 be simplified?

    No: no prime appears three times in 9, so its only cube factor is 1 and ∛9 is already in simplest form. Since 2³ = 8 < 9 < 27 = 3³, ∛9 lies between 2 and 3: ∛9 ≈ 2.0801.

    Is ∛9 a rational number?

    No: 9 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 ∛9 is irrational; its decimal never ends and never repeats: ∛9 ≈ 2.0801.

    See Also