Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    Cube Root of 24

    Cube Root Calculator
    Cube root of

    What is the cube root of 24?

    Answer

    ∛24 =
    2∛3 ≈ 2.8845

    Real cube root: the only number whose cube is 24.

    ≈ — rounded to 4 decimal places. 24 is not the cube of a rational number, so ∛24 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    24 = (2 × 2 × 2) × 3 = 2³ × 3
    Take out of the root
    ∛24 = ∛(2³ × 3) = 2∛3
    Between cubes
    2³ = 8 < 24 < 27 = 3³, so 2 < ∛24 < 3 and ∛24 ≈ 2.8845

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/24Copy
    <a href="https://calculat.io/en/number/cube-root/24">Cube Root of 24 (∛24): Exact Value and Decimal - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 24 (∛24): Exact Value and Decimal. ∛24 = 2∛3 ≈ 2.8845. 24 = 2³ × 3, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/24/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    21≈ 2.7589
    22≈ 2.802
    23≈ 2.8439
    242∛3 ≈ 2.8845
    25≈ 2.924
    26≈ 2.9625
    273
    Recalculate with different values ↑

    FAQ

    What is the cube root of 24?

    ∛24 = 2∛3 ≈ 2.8845

    How to simplify ∛24?

    Factor 24 into primes: 24 = 2 × 2 × 2 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛24 = ∛(2³ × 3) = 2∛3.

    Is ∛24 a rational number?

    No: 24 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 ∛24 is irrational; its decimal never ends and never repeats: ∛24 ≈ 2.8845.

    See Also