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    Cube Root of 1800

    Cube Root Calculator
    Cube root of

    What is the cube root of 1,800?

    Answer

    ∛1,800 =
    2∛225 ≈ 12.1644

    Real cube root: the only number whose cube is 1,800.

    ≈ — rounded to 4 decimal places. 1,800 is not the cube of a rational number, so ∛1,800 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    1,800 = (2 × 2 × 2) × 3 × 3 × 5 × 5 = 2³ × 3² × 5²
    Take out of the root
    ∛1,800 = ∛(2³ × 225) = 2∛225
    Between cubes
    12³ = 1,728 < 1,800 < 2,197 = 13³, so 12 < ∛1,800 < 13 and ∛1,800 ≈ 12.1644

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    https://calculat.io/en/number/cube-root/1800Copy
    <a href="https://calculat.io/en/number/cube-root/1800">Cube Root of 1800 (∛1800): Exact Value and Decimal</a>Copy
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    Cube Root of 1800 (∛1800): Exact Value and Decimal. ∛1,800 = 2∛225 ≈ 12.1644. 1,800 = 2³ × 225, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/1800/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1,72812
    1,729≈ 12.0023
    1,738≈ 12.0231
    1,8002∛225 ≈ 12.1644
    2,00010∛2 ≈ 12.5992
    2,007≈ 12.6139
    2,0242∛253 ≈ 12.6494
    Recalculate with different values ↑

    FAQ

    What is the cube root of 1,800?

    ∛1,800 = 2∛225 ≈ 12.1644

    How to simplify ∛1,800?

    Factor 1,800 into primes: 1,800 = 2 × 2 × 2 × 3 × 3 × 5 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛1,800 = ∛(2³ × 225) = 2∛225.

    Is ∛1,800 a rational number?

    No: 1,800 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 ∛1,800 is irrational; its decimal never ends and never repeats: ∛1,800 ≈ 12.1644.

    See Also