Cube Root of 29.5

Cube Root Calculator
Cube root of

What is the cube root of 29.5?

Answer

∛29.5 ≈
3.0899

Real cube root: the only number whose cube is 29.5.

≈ — rounded to 4 decimal places. 29.5 is not the cube of a rational number, so ∛29.5 is irrational: its decimal expansion never ends and never repeats.

Between cubes
3³ = 27 < 29.5 < 64 = 4³, so 3 < ∛29.5 < 4 and ∛29.5 ≈ 3.0899

See Also

FAQ

What is the cube root of 29.5?

∛29.5 ≈ 3.0899

How to find ∛29.5 without a calculator?

Bracket it between cubes: 3³ = 27 < 29.5 < 64 = 4³, so ∛29.5 lies between 3 and 4. Narrowing the bracket digit by digit gives ∛29.5 ≈ 3.0899; 29.5 is not the cube of a decimal, so the root never ends.

Is ∛29.5 a rational number?

No: 29.5 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 ∛29.5 is irrational; its decimal never ends and never repeats: ∛29.5 ≈ 3.0899.