Cube Root of 136

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Cube root of

What is the cube root of 136?

Answer

∛136 =
2∛17 ≈ 5.1426

Real cube root: the only number whose cube is 136.

≈ — rounded to 4 decimal places. 136 is not the cube of a rational number, so ∛136 is irrational: its decimal expansion never ends and never repeats.

Prime factors
136 = (2 × 2 × 2) × 17 = 2³ × 17
Take out of the root
∛136 = ∛(2³ × 17) = 2∛17
Between cubes
5³ = 125 < 136 < 216 = 6³, so 5 < ∛136 < 6 and ∛136 ≈ 5.1426

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See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
131≈ 5.0788
132≈ 5.0916
1353∛5 ≈ 5.1299
1362∛17 ≈ 5.1426
137≈ 5.1551
142≈ 5.2171
1442∛18 ≈ 5.2415

FAQ

What is the cube root of 136?

∛136 = 2∛17 ≈ 5.1426

How to simplify ∛136?

Factor 136 into primes: 136 = 2 × 2 × 2 × 17. Each triple of equal factors is a cube and comes out of the root as one factor; the rest stays under it: ∛136 = ∛(2³ × 17) = 2∛17.

Is ∛136 a rational number?

No: 136 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 ∛136 is irrational; its decimal never ends and never repeats: ∛136 ≈ 5.1426.

See Also