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    Cube Root of 3888

    Cube Root Calculator
    Cube root of

    What is the cube root of 3,888?

    Answer

    ∛3,888 =
    6∛18 ≈ 15.7244

    Real cube root: the only number whose cube is 3,888.

    ≈ — rounded to 4 decimal places. 3,888 is not the cube of a rational number, so ∛3,888 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    3,888 = (2 × 2 × 2) × 2 × (3 × 3 × 3) × 3 × 3 = 2⁴ × 3⁵
    Take out of the root
    ∛3,888 = ∛(2³ × 3³ × 18) = 2 × 3 × ∛18 = 6∛18
    Between cubes
    15³ = 3,375 < 3,888 < 4,096 = 16³, so 15 < ∛3,888 < 16 and ∛3,888 ≈ 15.7244

    See Also

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    https://calculat.io/en/number/cube-root/3888Copy
    <a href="https://calculat.io/en/number/cube-root/3888">Cube Root of 3888 (∛3888): Exact Value and Decimal</a>Copy
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    Cube Root of 3888 (∛3888): Exact Value and Decimal. ∛3,888 = 6∛18 ≈ 15.7244. 3,888 = 6³ × 18, so 6 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/3888/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    3,1255∛25 ≈ 14.6201
    3,1364∛49 ≈ 14.6372
    3,37515
    3,8886∛18 ≈ 15.7244
    4,045≈ 15.9333
    4,09616
    4,225≈ 16.1662
    Recalculate with different values ↑

    FAQ

    What is the cube root of 3,888?

    ∛3,888 = 6∛18 ≈ 15.7244

    How to simplify ∛3,888?

    Factor 3,888 into primes: 3,888 = 2 × 2 × 2 × 2 × 3 × 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: ∛3,888 = ∛(2³ × 3³ × 18) = 6∛18.

    Is ∛3,888 a rational number?

    No: 3,888 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 ∛3,888 is irrational; its decimal never ends and never repeats: ∛3,888 ≈ 15.7244.

    See Also