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 96

    Cube Root Calculator
    Cube root of

    What is the cube root of 96?

    Answer

    ∛96 =
    2∛12 ≈ 4.5789

    Real cube root: the only number whose cube is 96.

    ≈ — rounded to 4 decimal places. 96 is not the cube of a rational number, so ∛96 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    96 = (2 × 2 × 2) × 2 × 2 × 3 = 2⁵ × 3
    Take out of the root
    ∛96 = ∛(2³ × 12) = 2∛12
    Between cubes
    4³ = 64 < 96 < 125 = 5³, so 4 < ∛96 < 5 and ∛96 ≈ 4.5789

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/96Copy
    <a href="https://calculat.io/en/number/cube-root/96">Cube Root of 96 (∛96): Exact Value and Decimal - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 96 (∛96): Exact Value and Decimal. ∛96 = 2∛12 ≈ 4.5789. 96 = 2³ × 12, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/96/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    93≈ 4.5307
    94≈ 4.5468
    95≈ 4.5629
    962∛12 ≈ 4.5789
    97≈ 4.5947
    98≈ 4.6104
    99≈ 4.6261
    Recalculate with different values ↑

    FAQ

    What is the cube root of 96?

    ∛96 = 2∛12 ≈ 4.5789

    How to simplify ∛96?

    Factor 96 into primes: 96 = 2 × 2 × 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: ∛96 = ∛(2³ × 12) = 2∛12.

    Is ∛96 a rational number?

    No: 96 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 ∛96 is irrational; its decimal never ends and never repeats: ∛96 ≈ 4.5789.

    See Also