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    Cube Root of 3087

    Cube Root Calculator
    Cube root of

    What is the cube root of 3,087?

    Answer

    ∛3,087 =
    7∛9 ≈ 14.5606

    Real cube root: the only number whose cube is 3,087.

    ≈ — rounded to 4 decimal places. 3,087 is not the cube of a rational number, so ∛3,087 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    3,087 = 3 × 3 × (7 × 7 × 7) = 3² × 7³
    Take out of the root
    ∛3,087 = ∛(7³ × 9) = 7∛9
    Between cubes
    14³ = 2,744 < 3,087 < 3,375 = 15³, so 14 < ∛3,087 < 15 and ∛3,087 ≈ 14.5606

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    https://calculat.io/en/number/cube-root/3087Copy
    <a href="https://calculat.io/en/number/cube-root/3087">Cube Root of 3087 (∛3087): Exact Value and Decimal</a>Copy
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    Cube Root of 3087 (∛3087): Exact Value and Decimal. ∛3,087 = 7∛9 ≈ 14.5606. 3,087 = 7³ × 9, so 7 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/3087/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    2,74414
    2,8804∛45 ≈ 14.2276
    2,917≈ 14.2882
    3,0877∛9 ≈ 14.5606
    3,1255∛25 ≈ 14.6201
    3,1364∛49 ≈ 14.6372
    3,37515
    Recalculate with different values ↑

    FAQ

    What is the cube root of 3,087?

    ∛3,087 = 7∛9 ≈ 14.5606

    How to simplify ∛3,087?

    Factor 3,087 into primes: 3,087 = 3 × 3 × 7 × 7 × 7. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛3,087 = ∛(7³ × 9) = 7∛9.

    Is ∛3,087 a rational number?

    No: 3,087 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 ∛3,087 is irrational; its decimal never ends and never repeats: ∛3,087 ≈ 14.5606.

    See Also