Cube Root of 0.025

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What is the cube root of 0.025?

Answer

∛0.025 ≈
0.2924

Real cube root: the only number whose cube is 0.025.

≈ — rounded to 4 decimal places. 0.025 is not the cube of a rational number, so ∛0.025 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.2³ = 0.008 < 0.025 < 0.027 = 0.3³, so 0.2 < ∛0.025 < 0.3 and ∛0.025 ≈ 0.2924

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
0.02≈ 0.2714
8/3432/7 ≈ 0.2857
3/125∛3/5 ≈ 0.2884
0.025≈ 0.2924
0.0270.3
27/10003/10 = 0.3
1/271/3 ≈ 0.3333

FAQ

What is the cube root of 0.025?

∛0.025 ≈ 0.2924

How to find ∛0.025 without a calculator?

Bracket it between cubes: 0.2³ = 0.008 < 0.025 < 0.027 = 0.3³, so ∛0.025 lies between 0.2 and 0.3. Narrowing the bracket digit by digit gives ∛0.025 ≈ 0.2924; 0.025 is not the cube of a decimal, so the root never ends.

Is ∛0.025 a rational number?

No: 0.025 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 ∛0.025 is irrational; its decimal never ends and never repeats: ∛0.025 ≈ 0.2924.

See Also