Cube Root of 0.04

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What is the cube root of 0.04?

Answer

∛0.04 ≈
0.342

Real cube root: the only number whose cube is 0.04.

≈ — rounded to 4 decimal places. 0.04 is not the cube of a rational number, so ∛0.04 is irrational: its decimal expansion never ends and never repeats.

0.04 = 1/25.

Between cubes
0.3³ = 0.027 < 0.04 < 0.064 = 0.4³, so 0.3 < ∛0.04 < 0.4 and ∛0.04 ≈ 0.342

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
0.0270.3
27/10003/10 = 0.3
1/271/3 ≈ 0.3333
0.04≈ 0.342
1/25∛5/5 ≈ 0.342
27/5123/8 = 0.375
0.0640.4

FAQ

What is the cube root of 0.04?

∛0.04 ≈ 0.342

How to find ∛0.04 without a calculator?

Bracket it between cubes: 0.3³ = 0.027 < 0.04 < 0.064 = 0.4³, so ∛0.04 lies between 0.3 and 0.4. Narrowing the bracket digit by digit gives ∛0.04 ≈ 0.342; 0.04 is not the cube of a decimal, so the root never ends.

Is ∛0.04 a rational number?

No: 0.04 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 ∛0.04 is irrational; its decimal never ends and never repeats: ∛0.04 ≈ 0.342.

See Also