Cube Root of 0.8

Cube Root Calculator
Cube root of

What is the cube root of 0.8?

Answer

∛0.8 ≈
0.9283

Real cube root: the only number whose cube is 0.8.

≈ — rounded to 4 decimal places. 0.8 is not the cube of a rational number, so ∛0.8 is irrational: its decimal expansion never ends and never repeats.

0.8 = 4/5.

Between cubes
0.9³ = 0.729 < 0.8 < 1 = 1³, so 0.9 < ∛0.8 < 1 and ∛0.8 ≈ 0.9283

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
0.7290.9
729/10009/10 = 0.9
3/4∛6/2 ≈ 0.9086
0.8≈ 0.9283
4/5∛100/5 ≈ 0.9283
11
1.1≈ 1.0323

FAQ

What is the cube root of 0.8?

∛0.8 ≈ 0.9283

How to find ∛0.8 without a calculator?

Bracket it between cubes: 0.9³ = 0.729 < 0.8 < 1 = 1³, so ∛0.8 lies between 0.9 and 1. Narrowing the bracket digit by digit gives ∛0.8 ≈ 0.9283; 0.8 is not the cube of a decimal, so the root never ends.

Is ∛0.8 a rational number?

No: 0.8 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 ∛0.8 is irrational; its decimal never ends and never repeats: ∛0.8 ≈ 0.9283.

See Also