Cube Root of 2.7

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Cube root of

What is the cube root of 2.7?

Answer

∛2.7 ≈
1.3925

Real cube root: the only number whose cube is 2.7.

≈ — rounded to 4 decimal places. 2.7 is not the cube of a rational number, so ∛2.7 is irrational: its decimal expansion never ends and never repeats.

Between cubes
1³ = 1 < 2.7 < 8 = 2³, so 1 < ∛2.7 < 2 and ∛2.7 ≈ 1.3925

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
2.25≈ 1.3104
2.5≈ 1.3572
5/2∛20/2 ≈ 1.3572
2.7≈ 1.3925
2.7441.4
2.8≈ 1.4095
3≈ 1.4422

FAQ

What is the cube root of 2.7?

∛2.7 ≈ 1.3925

How to find ∛2.7 without a calculator?

Bracket it between cubes: 1³ = 1 < 2.7 < 8 = 2³, so ∛2.7 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛2.7 ≈ 1.3925; 2.7 is not the cube of a decimal, so the root never ends.

Is ∛2.7 a rational number?

No: 2.7 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 ∛2.7 is irrational; its decimal never ends and never repeats: ∛2.7 ≈ 1.3925.

See Also