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    Cube Root of 900

    Cube Root Calculator
    Cube root of

    What is the cube root of 900?

    Answer

    ∛900 ≈
    9.6549

    Real cube root: the only number whose cube is 900.

    ≈ — rounded to 4 decimal places. 900 is not the cube of a rational number, so ∛900 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    900 = 2 × 2 × 3 × 3 × 5 × 5 = 2² × 3² × 5²
    Take out of the root
    No prime appears three times, so ∛900 is already in simplest form.
    Between cubes
    9³ = 729 < 900 < 1,000 = 10³, so 9 < ∛900 < 10 and ∛900 ≈ 9.6549

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    https://calculat.io/en/number/cube-root/900Copy
    <a href="https://calculat.io/en/number/cube-root/900">Cube Root of 900 (∛900): Exact Value and Decimal</a>Copy
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    Cube Root of 900 (∛900): Exact Value and Decimal. ∛900 ≈ 9.6549. 900 has no cube factor but 1, so ∛900 is already simplest; it lies between 9 and 10.
    https://calculat.io/en/number/cube-root/900/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    730≈ 9.0041
    7684∛12 ≈ 9.1577
    8646∛4 ≈ 9.5244
    900≈ 9.6549
    925≈ 9.7435
    997≈ 9.99
    998≈ 9.9933
    Recalculate with different values ↑

    FAQ

    What is the cube root of 900?

    ∛900 ≈ 9.6549

    Can ∛900 be simplified?

    No: no prime appears three times in 900, so its only cube factor is 1 and ∛900 is already in simplest form. Since 9³ = 729 < 900 < 1,000 = 10³, ∛900 lies between 9 and 10: ∛900 ≈ 9.6549.

    Is ∛900 a rational number?

    No: 900 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 ∛900 is irrational; its decimal never ends and never repeats: ∛900 ≈ 9.6549.

    See Also