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    Cube Root of 135

    Cube Root Calculator
    Cube root of

    What is the cube root of 135?

    Answer

    ∛135 =
    3∛5 ≈ 5.1299

    Real cube root: the only number whose cube is 135.

    ≈ — rounded to 4 decimal places. 135 is not the cube of a rational number, so ∛135 is irrational: its decimal expansion never ends and never repeats.

    Prime factors
    135 = (3 × 3 × 3) × 5 = 3³ × 5
    Take out of the root
    ∛135 = ∛(3³ × 5) = 3∛5
    Between cubes
    5³ = 125 < 135 < 216 = 6³, so 5 < ∛135 < 6 and ∛135 ≈ 5.1299

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    https://calculat.io/en/number/cube-root/135Copy
    <a href="https://calculat.io/en/number/cube-root/135">Cube Root of 135 (∛135): Exact Value and Decimal</a>Copy
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    Cube Root of 135 (∛135): Exact Value and Decimal. ∛135 = 3∛5 ≈ 5.1299. 135 = 3³ × 5, so 3 comes out of the root. Prime factors in threes and a check.
    https://calculat.io/en/number/cube-root/135/generated.jpgCopy

    Cube roots of nearby values

    N∛N
    129≈ 5.0528
    131≈ 5.0788
    132≈ 5.0916
    1353∛5 ≈ 5.1299
    1362∛17 ≈ 5.1426
    137≈ 5.1551
    142≈ 5.2171
    Recalculate with different values ↑

    FAQ

    What is the cube root of 135?

    ∛135 = 3∛5 ≈ 5.1299

    How to simplify ∛135?

    Factor 135 into primes: 135 = 3 × 3 × 3 × 5. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛135 = ∛(3³ × 5) = 3∛5.

    Is ∛135 a rational number?

    No: 135 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 ∛135 is irrational; its decimal never ends and never repeats: ∛135 ≈ 5.1299.

    See Also