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    Cube Root of 9621

    Cube Root Calculator
    Cube root of

    What is the cube root of 9,621?

    Answer

    ∛9,621 ≈
    21.2687

    Real cube root: the only number whose cube is 9,621.

    ≈ — rounded to 4 decimal places. 9,621 is not the cube of a rational number, so ∛9,621 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    9,621 = 3 × 3 × 1,069 = 3² × 1,069
    Take out of the root
    No prime appears three times, so ∛9,621 is already in simplest form.
    Between cubes
    21³ = 9,261 < 9,621 < 10,648 = 22³, so 21 < ∛9,621 < 22 and ∛9,621 ≈ 21.2687

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    https://calculat.io/en/number/cube-root/9621Copy
    <a href="https://calculat.io/en/number/cube-root/9621">Cube Root of 9621 (∛9621): Exact Value and Decimal</a>Copy
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    Cube Root of 9621 (∛9621): Exact Value and Decimal. ∛9,621 ≈ 21.2687. 9,621 has no cube factor but 1, so ∛9,621 is already simplest; it lies between 21 and 22.
    https://calculat.io/en/number/cube-root/9621/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    8,00020
    8,78813∛4 ≈ 20.6362
    9,26121
    9,621≈ 21.2687
    9,999≈ 21.5436
    10,00010∛10 ≈ 21.5443
    10,36812∛6 ≈ 21.8054
    Recalculate with different values ↑

    FAQ

    What is the cube root of 9,621?

    ∛9,621 ≈ 21.2687

    Can ∛9,621 be simplified?

    No: no prime appears three times in 9,621, so its only cube factor is 1 and ∛9,621 is already in simplest form. Since 21³ = 9,261 < 9,621 < 10,648 = 22³, ∛9,621 lies between 21 and 22: ∛9,621 ≈ 21.2687.

    Is ∛9,621 a rational number?

    No: 9,621 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 ∛9,621 is irrational; its decimal never ends and never repeats: ∛9,621 ≈ 21.2687.

    See Also