Cube Root of 0.36

Cube Root Calculator
Cube root of

What is the cube root of 0.36?

Answer

∛0.36 ≈
0.7114

Real cube root: the only number whose cube is 0.36.

≈ — rounded to 4 decimal places. 0.36 is not the cube of a rational number, so ∛0.36 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.7³ = 0.343 < 0.36 < 0.512 = 0.8³, so 0.7 < ∛0.36 < 0.8 and ∛0.36 ≈ 0.7114

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/3∛9/3 ≈ 0.6934
0.3430.7
343/10007/10 = 0.7
0.36≈ 0.7114
125/3435/7 ≈ 0.7143
3/8∛3/2 ≈ 0.7211
27/643/4 = 0.75

FAQ

What is the cube root of 0.36?

∛0.36 ≈ 0.7114

How to find ∛0.36 without a calculator?

Bracket it between cubes: 0.7³ = 0.343 < 0.36 < 0.512 = 0.8³, so ∛0.36 lies between 0.7 and 0.8. Narrowing the bracket digit by digit gives ∛0.36 ≈ 0.7114; 0.36 is not the cube of a decimal, so the root never ends.

Is ∛0.36 a rational number?

No: 0.36 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 ∛0.36 is irrational; its decimal never ends and never repeats: ∛0.36 ≈ 0.7114.

See Also