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    Cube Root of 2200

    Cube Root Calculator
    Cube root of

    What is the cube root of 2,200?

    Answer

    ∛2,200 =
    2∛275 ≈ 13.0059

    Real cube root: the only number whose cube is 2,200.

    ≈ — rounded to 4 decimal places. 2,200 is not the cube of a rational number, so ∛2,200 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    2,200 = (2 × 2 × 2) × 5 × 5 × 11 = 2³ × 5² × 11
    Take out of the root
    ∛2,200 = ∛(2³ × 275) = 2∛275
    Between cubes
    13³ = 2,197 < 2,200 < 2,744 = 14³, so 13 < ∛2,200 < 14 and ∛2,200 ≈ 13.0059

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    https://calculat.io/en/number/cube-root/2200Copy
    <a href="https://calculat.io/en/number/cube-root/2200">Cube Root of 2200 (∛2200): Exact Value and Decimal</a>Copy
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    Cube Root of 2200 (∛2200): Exact Value and Decimal. ∛2,200 = 2∛275 ≈ 13.0059. 2,200 = 2³ × 275, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/2200/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2,007≈ 12.6139
    2,0242∛253 ≈ 12.6494
    2,19713
    2,2002∛275 ≈ 13.0059
    2,300≈ 13.2001
    2,4002∛300 ≈ 13.3887
    2,4017∛7 ≈ 13.3905
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2,200?

    ∛2,200 = 2∛275 ≈ 13.0059

    How to simplify ∛2,200?

    Factor 2,200 into primes: 2,200 = 2 × 2 × 2 × 5 × 5 × 11. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛2,200 = ∛(2³ × 275) = 2∛275.

    Is ∛2,200 a rational number?

    No: 2,200 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 ∛2,200 is irrational; its decimal never ends and never repeats: ∛2,200 ≈ 13.0059.

    See Also