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    Cube Root of 144

    Cube Root Calculator
    Cube root of

    What is the cube root of 144?

    Answer

    ∛144 =
    2∛18 ≈ 5.2415

    Real cube root: the only number whose cube is 144.

    ≈ — rounded to 4 decimal places. 144 is not the cube of a rational number, so ∛144 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    144 = (2 × 2 × 2) × 2 × 3 × 3 = 2⁴ × 3²
    Take out of the root
    ∛144 = ∛(2³ × 18) = 2∛18
    Between cubes
    5³ = 125 < 144 < 216 = 6³, so 5 < ∛144 < 6 and ∛144 ≈ 5.2415

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    https://calculat.io/en/number/cube-root/144Copy
    <a href="https://calculat.io/en/number/cube-root/144">Cube Root of 144 (∛144): Exact Value and Decimal</a>Copy
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    Cube Root of 144 (∛144): Exact Value and Decimal. ∛144 = 2∛18 ≈ 5.2415. 144 = 2³ × 18, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/144/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    1362∛17 ≈ 5.1426
    137≈ 5.1551
    142≈ 5.2171
    1442∛18 ≈ 5.2415
    147≈ 5.2776
    149≈ 5.3015
    150≈ 5.3133
    Recalculate with different values ↑

    FAQ

    What is the cube root of 144?

    ∛144 = 2∛18 ≈ 5.2415

    How to simplify ∛144?

    Factor 144 into primes: 144 = 2 × 2 × 2 × 2 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛144 = ∛(2³ × 18) = 2∛18.

    Is ∛144 a rational number?

    No: 144 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 ∛144 is irrational; its decimal never ends and never repeats: ∛144 ≈ 5.2415.

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