Cube Root of 0.02

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What is the cube root of 0.02?

Answer

∛0.02 ≈
0.2714

Real cube root: the only number whose cube is 0.02.

≈ — rounded to 4 decimal places. 0.02 is not the cube of a rational number, so ∛0.02 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.2³ = 0.008 < 0.02 < 0.027 = 0.3³, so 0.2 < ∛0.02 < 0.3 and ∛0.02 ≈ 0.2714

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/1251/5 = 0.2
8/7292/9 ≈ 0.2222
1/641/4 = 0.25
0.02≈ 0.2714
8/3432/7 ≈ 0.2857
3/125∛3/5 ≈ 0.2884
0.025≈ 0.2924

FAQ

What is the cube root of 0.02?

∛0.02 ≈ 0.2714

How to find ∛0.02 without a calculator?

Bracket it between cubes: 0.2³ = 0.008 < 0.02 < 0.027 = 0.3³, so ∛0.02 lies between 0.2 and 0.3. Narrowing the bracket digit by digit gives ∛0.02 ≈ 0.2714; 0.02 is not the cube of a decimal, so the root never ends.

Is ∛0.02 a rational number?

No: 0.02 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 ∛0.02 is irrational; its decimal never ends and never repeats: ∛0.02 ≈ 0.2714.

See Also