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    Cube Root of 16

    Cube Root Calculator
    Cube root of

    What is the cube root of 16?

    Answer

    ∛16 =
    2∛2 ≈ 2.5198

    Real cube root: the only number whose cube is 16.

    ≈ — rounded to 4 decimal places. 16 is not the cube of a rational number, so ∛16 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    16 = (2 × 2 × 2) × 2 = 2⁴
    Take out of the root
    ∛16 = ∛(2³ × 2) = 2∛2
    Between cubes
    2³ = 8 < 16 < 27 = 3³, so 2 < ∛16 < 3 and ∛16 ≈ 2.5198

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    https://calculat.io/en/number/cube-root/16Copy
    <a href="https://calculat.io/en/number/cube-root/16">Cube Root of 16 (∛16): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 16 (∛16): Exact Value and Decimal. ∛16 = 2∛2 ≈ 2.5198. 16 = 2³ × 2, so 2 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/16/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    15≈ 2.4662
    125/85/2 = 2.5
    15.6252.5
    162∛2 ≈ 2.5198
    17≈ 2.5713
    17.5≈ 2.5962
    18≈ 2.6207
    Recalculate with different values ↑

    FAQ

    What is the cube root of 16?

    ∛16 = 2∛2 ≈ 2.5198

    How to simplify ∛16?

    Factor 16 into primes: 16 = 2 × 2 × 2 × 2. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛16 = ∛(2³ × 2) = 2∛2.

    Is ∛16 a rational number?

    No: 16 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 ∛16 is irrational; its decimal never ends and never repeats: ∛16 ≈ 2.5198.

    See Also