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    Cube Root of 10

    Cube Root Calculator
    Cube root of

    What is the cube root of 10?

    Answer

    ∛10 ≈
    2.1544

    Real cube root: the only number whose cube is 10.

    ≈ — rounded to 4 decimal places. 10 is not the cube of a rational number, so ∛10 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    10 = 2 × 5
    Take out of the root
    No prime appears three times, so ∛10 is already in simplest form.
    Between cubes
    2³ = 8 < 10 < 27 = 3³, so 2 < ∛10 < 3 and ∛10 ≈ 2.1544

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    https://calculat.io/en/number/cube-root/10Copy
    <a href="https://calculat.io/en/number/cube-root/10">Cube Root of 10 (∛10): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 10 (∛10): Exact Value and Decimal. ∛10 ≈ 2.1544. 10 has no cube factor but 1, so ∛10 is already simplest; it lies between 2 and 3.
    https://calculat.io/en/number/cube-root/10/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    82
    9≈ 2.0801
    9.2612.1
    10≈ 2.1544
    11≈ 2.224
    12≈ 2.2894
    12.1672.3
    Recalculate with different values ↑

    FAQ

    What is the cube root of 10?

    ∛10 ≈ 2.1544

    Can ∛10 be simplified?

    No: no prime appears three times in 10, so its only cube factor is 1 and ∛10 is already in simplest form. Since 2³ = 8 < 10 < 27 = 3³, ∛10 lies between 2 and 3: ∛10 ≈ 2.1544.

    Is ∛10 a rational number?

    No: 10 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 ∛10 is irrational; its decimal never ends and never repeats: ∛10 ≈ 2.1544.

    See Also