Cube Root of 2.8

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Cube root of

What is the cube root of 2.8?

Answer

∛2.8 ≈
1.4095

Real cube root: the only number whose cube is 2.8.

≈ — rounded to 4 decimal places. 2.8 is not the cube of a rational number, so ∛2.8 is irrational: its decimal expansion never ends and never repeats.

Between cubes
1³ = 1 < 2.8 < 8 = 2³, so 1 < ∛2.8 < 2 and ∛2.8 ≈ 1.4095

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
5/2∛20/2 ≈ 1.3572
2.7≈ 1.3925
2.7441.4
2.8≈ 1.4095
3≈ 1.4422
27/83/2 = 1.5
3.3751.5

FAQ

What is the cube root of 2.8?

∛2.8 ≈ 1.4095

How to find ∛2.8 without a calculator?

Bracket it between cubes: 1³ = 1 < 2.8 < 8 = 2³, so ∛2.8 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛2.8 ≈ 1.4095; 2.8 is not the cube of a decimal, so the root never ends.

Is ∛2.8 a rational number?

No: 2.8 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 ∛2.8 is irrational; its decimal never ends and never repeats: ∛2.8 ≈ 1.4095.

See Also