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 120

    Cube Root Calculator
    Cube root of

    What is the cube root of 120?

    Answer

    ∛120 =
    2∛15 ≈ 4.9324

    Real cube root: the only number whose cube is 120.

    ≈ — rounded to 4 decimal places. 120 is not the cube of a rational number, so ∛120 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    120 = (2 × 2 × 2) × 3 × 5 = 2³ × 3 × 5
    Take out of the root
    ∛120 = ∛(2³ × 15) = 2∛15
    Between cubes
    4³ = 64 < 120 < 125 = 5³, so 4 < ∛120 < 5 and ∛120 ≈ 4.9324

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/cube-root/120Copy
    <a href="https://calculat.io/en/number/cube-root/120">Cube Root of 120 (∛120): Exact Value and Decimal</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    Cube Root of 120 (∛120): Exact Value and Decimal. ∛120 = 2∛15 ≈ 4.9324. 120 = 2³ × 15, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/120/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    115≈ 4.8629
    117≈ 4.891
    119≈ 4.9187
    1202∛15 ≈ 4.9324
    121≈ 4.9461
    122≈ 4.9597
    123≈ 4.9732
    Recalculate with different values ↑

    FAQ

    What is the cube root of 120?

    ∛120 = 2∛15 ≈ 4.9324

    How to simplify ∛120?

    Factor 120 into primes: 120 = 2 × 2 × 2 × 3 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛120 = ∛(2³ × 15) = 2∛15.

    Is ∛120 a rational number?

    No: 120 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 ∛120 is irrational; its decimal never ends and never repeats: ∛120 ≈ 4.9324.

    See Also