Cube Root of 0.0008

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What is the cube root of 0.0008?

Answer

∛0.0008 ≈
0.0928

Real cube root: the only number whose cube is 0.0008.

≈ — rounded to 4 decimal places. 0.0008 is not the cube of a rational number, so ∛0.0008 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.09³ = 0.000729 < 0.0008 < 0.001 = 0.1³, so 0.09 < ∛0.0008 < 0.1 and ∛0.0008 ≈ 0.0928

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
−0.0125≈ −0.2321
00
0.00015≈ 0.0531
0.0008≈ 0.0928
0.0010.1
1/10001/10 = 0.1
1/7291/9 ≈ 0.1111

FAQ

What is the cube root of 0.0008?

∛0.0008 ≈ 0.0928

How to find ∛0.0008 without a calculator?

Bracket it between cubes: 0.09³ = 0.000729 < 0.0008 < 0.001 = 0.1³, so ∛0.0008 lies between 0.09 and 0.1. Narrowing the bracket digit by digit gives ∛0.0008 ≈ 0.0928; 0.0008 is not the cube of a decimal, so the root never ends.

Is ∛0.0008 a rational number?

No: 0.0008 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 ∛0.0008 is irrational; its decimal never ends and never repeats: ∛0.0008 ≈ 0.0928.

See Also