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    Cube Root of 54

    Cube Root Calculator
    Cube root of

    What is the cube root of 54?

    Answer

    ∛54 =
    3∛2 ≈ 3.7798

    Real cube root: the only number whose cube is 54.

    ≈ — rounded to 4 decimal places. 54 is not the cube of a rational number, so ∛54 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    54 = 2 × (3 × 3 × 3) = 2 × 3³
    Take out of the root
    ∛54 = ∛(3³ × 2) = 3∛2
    Between cubes
    3³ = 27 < 54 < 64 = 4³, so 3 < ∛54 < 4 and ∛54 ≈ 3.7798

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    https://calculat.io/en/number/cube-root/54Copy
    <a href="https://calculat.io/en/number/cube-root/54">Cube Root of 54 (∛54): Exact Value and Decimal - Calculatio</a>Copy
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    Cube Root of 54 (∛54): Exact Value and Decimal. ∛54 = 3∛2 ≈ 3.7798. 54 = 3³ × 2, so 3 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/54/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    51≈ 3.7084
    52≈ 3.7325
    53≈ 3.7563
    543∛2 ≈ 3.7798
    55≈ 3.803
    562∛7 ≈ 3.8259
    57≈ 3.8485
    Recalculate with different values ↑

    FAQ

    What is the cube root of 54?

    ∛54 = 3∛2 ≈ 3.7798

    How to simplify ∛54?

    Factor 54 into primes: 54 = 2 × 3 × 3 × 3. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛54 = ∛(3³ × 2) = 3∛2.

    Is ∛54 a rational number?

    No: 54 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 ∛54 is irrational; its decimal never ends and never repeats: ∛54 ≈ 3.7798.

    See Also