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    Cube Root of 2592

    Cube Root Calculator
    Cube root of

    What is the cube root of 2,592?

    Answer

    ∛2,592 =
    6∛12 ≈ 13.7366

    Real cube root: the only number whose cube is 2,592.

    ≈ — rounded to 4 decimal places. 2,592 is not the cube of a rational number, so ∛2,592 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    2,592 = (2 × 2 × 2) × 2 × 2 × (3 × 3 × 3) × 3 = 2⁵ × 3⁴
    Take out of the root
    ∛2,592 = ∛(2³ × 3³ × 12) = 2 × 3 × ∛12 = 6∛12
    Between cubes
    13³ = 2,197 < 2,592 < 2,744 = 14³, so 13 < ∛2,592 < 14 and ∛2,592 ≈ 13.7366

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    https://calculat.io/en/number/cube-root/2592Copy
    <a href="https://calculat.io/en/number/cube-root/2592">Cube Root of 2592 (∛2592): Exact Value and Decimal</a>Copy
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    Cube Root of 2592 (∛2592): Exact Value and Decimal. ∛2,592 = 6∛12 ≈ 13.7366. 2,592 = 6³ × 12, so 6 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/2592/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2,4002∛300 ≈ 13.3887
    2,4017∛7 ≈ 13.3905
    2,450≈ 13.481
    2,5926∛12 ≈ 13.7366
    2,74414
    2,8804∛45 ≈ 14.2276
    2,917≈ 14.2882
    Recalculate with different values ↑

    FAQ

    What is the cube root of 2,592?

    ∛2,592 = 6∛12 ≈ 13.7366

    How to simplify ∛2,592?

    Factor 2,592 into primes: 2,592 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛2,592 = ∛(2³ × 3³ × 12) = 6∛12.

    Is ∛2,592 a rational number?

    No: 2,592 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 ∛2,592 is irrational; its decimal never ends and never repeats: ∛2,592 ≈ 13.7366.

    See Also