Cube Root of 0.2

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Cube root of

What is the cube root of 0.2?

Answer

∛0.2 ≈
0.5848

Real cube root: the only number whose cube is 0.2.

≈ — rounded to 4 decimal places. 0.2 is not the cube of a rational number, so ∛0.2 is irrational: its decimal expansion never ends and never repeats.

Between cubes
0.5³ = 0.125 < 0.2 < 0.216 = 0.6³, so 0.5 < ∛0.2 < 0.6 and ∛0.2 ≈ 0.5848

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/81/2 = 0.5
125/7295/9 ≈ 0.5556
64/3434/7 ≈ 0.5714
0.2≈ 0.5848
0.2160.6
27/1253/5 = 0.6
2/9∛6/3 ≈ 0.6057

FAQ

What is the cube root of 0.2?

∛0.2 ≈ 0.5848

How to find ∛0.2 without a calculator?

Bracket it between cubes: 0.5³ = 0.125 < 0.2 < 0.216 = 0.6³, so ∛0.2 lies between 0.5 and 0.6. Narrowing the bracket digit by digit gives ∛0.2 ≈ 0.5848; 0.2 is not the cube of a decimal, so the root never ends.

Is ∛0.2 a rational number?

No: 0.2 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 ∛0.2 is irrational; its decimal never ends and never repeats: ∛0.2 ≈ 0.5848.

See Also