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    Cube Root of 1521

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,521?

    Answer

    ∛1,521 ≈
    11.5003

    Real cube root: the only number whose cube is 1,521.

    ≈ — rounded to 4 decimal places. 1,521 is not the cube of a rational number, so ∛1,521 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,521 = 3 × 3 × 13 × 13 = 3² × 13²
    Take out of the root
    No prime appears three times, so ∛1,521 is already in simplest form.
    Between cubes
    11³ = 1,331 < 1,521 < 1,728 = 12³, so 11 < ∛1,521 < 12 and ∛1,521 ≈ 11.5003

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    https://calculat.io/en/number/cube-root/1521Copy
    <a href="https://calculat.io/en/number/cube-root/1521">Cube Root of 1521 (∛1521): Exact Value and Decimal</a>Copy
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    Cube Root of 1521 (∛1521): Exact Value and Decimal. ∛1,521 ≈ 11.5003. 1,521 has no cube factor but 1, so ∛1,521 is already simplest; it lies between 11 and 12.
    https://calculat.io/en/number/cube-root/1521/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,3727∛4 ≈ 11.1118
    1,4589∛2 ≈ 11.3393
    1,4882∛186 ≈ 11.4165
    1,521≈ 11.5003
    1,5368∛3 ≈ 11.538
    1,700≈ 11.9348
    1,7013∛63 ≈ 11.9372
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,521?

    ∛1,521 ≈ 11.5003

    Can ∛1,521 be simplified?

    No: no prime appears three times in 1,521, so its only cube factor is 1 and ∛1,521 is already in simplest form. Since 11³ = 1,331 < 1,521 < 1,728 = 12³, ∛1,521 lies between 11 and 12: ∛1,521 ≈ 11.5003.

    Is ∛1,521 a rational number?

    No: 1,521 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 ∛1,521 is irrational; its decimal never ends and never repeats: ∛1,521 ≈ 11.5003.

    See Also