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    Cube Root of 11025

    Cube Root Calculator
    Cube root of

    What is the cube root of 11,025?

    Answer

    ∛11,025 ≈
    22.2566

    Real cube root: the only number whose cube is 11,025.

    ≈ — rounded to 4 decimal places. 11,025 is not the cube of a rational number, so ∛11,025 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    11,025 = 3 × 3 × 5 × 5 × 7 × 7 = 3² × 5² × 7²
    Take out of the root
    No prime appears three times, so ∛11,025 is already in simplest form.
    Between cubes
    22³ = 10,648 < 11,025 < 12,167 = 23³, so 22 < ∛11,025 < 23 and ∛11,025 ≈ 22.2566

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    https://calculat.io/en/number/cube-root/11025Copy
    <a href="https://calculat.io/en/number/cube-root/11025">Cube Root of 11025 (∛11025): Exact Value and Decimal</a>Copy
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    Cube Root of 11025 (∛11025): Exact Value and Decimal. ∛11,025 ≈ 22.2566. 11,025 has no cube factor but 1, so ∛11,025 is already simplest; it lies between 22 and 23.
    https://calculat.io/en/number/cube-root/11025/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    10,00010∛10 ≈ 21.5443
    10,36812∛6 ≈ 21.8054
    10,64822
    11,025≈ 22.2566
    12,16723
    12,8008∛25 ≈ 23.3921
    13,82424
    Recalculate with different values ↑

    FAQ

    What is the cube root of 11,025?

    ∛11,025 ≈ 22.2566

    Can ∛11,025 be simplified?

    No: no prime appears three times in 11,025, so its only cube factor is 1 and ∛11,025 is already in simplest form. Since 22³ = 10,648 < 11,025 < 12,167 = 23³, ∛11,025 lies between 22 and 23: ∛11,025 ≈ 22.2566.

    Is ∛11,025 a rational number?

    No: 11,025 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 ∛11,025 is irrational; its decimal never ends and never repeats: ∛11,025 ≈ 22.2566.

    See Also