Cube Root of 0.002

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Cube root of

What is the cube root of 0.002?

Answer

∛0.002 ≈
0.126

Real cube root: the only number whose cube is 0.002.

≈ — rounded to 4 decimal places. 0.002 is not the cube of a rational number, so ∛0.002 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.1³ = 0.001 < 0.002 < 0.008 = 0.2³, so 0.1 < ∛0.002 < 0.2 and ∛0.002 ≈ 0.126

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/7291/9 ≈ 0.1111
0.0017280.12
1/5121/8 = 0.125
0.002≈ 0.126
1/3431/7 ≈ 0.1429
1/2161/6 ≈ 0.1667
0.0080.2

FAQ

What is the cube root of 0.002?

∛0.002 ≈ 0.126

How to find ∛0.002 without a calculator?

Bracket it between cubes: 0.1³ = 0.001 < 0.002 < 0.008 = 0.2³, so ∛0.002 lies between 0.1 and 0.2. Narrowing the bracket digit by digit gives ∛0.002 ≈ 0.126; 0.002 is not the cube of a decimal, so the root never ends.

Is ∛0.002 a rational number?

No: 0.002 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 ∛0.002 is irrational; its decimal never ends and never repeats: ∛0.002 ≈ 0.126.

See Also