Cube Root of 1.1

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Cube root of

What is the cube root of 1.1?

Answer

∛1.1 ≈
1.0323

Real cube root: the only number whose cube is 1.1.

≈ — rounded to 4 decimal places. 1.1 is not the cube of a rational number, so ∛1.1 is irrational: its decimal expansion never ends and never repeats.

Between cubes
1³ = 1 < 1.1 < 8 = 2³, so 1 < ∛1.1 < 2 and ∛1.1 ≈ 1.0323

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
0.8≈ 0.9283
4/5∛100/5 ≈ 0.9283
11
1.1≈ 1.0323
1.12≈ 1.0385
1.2≈ 1.0627
1.21≈ 1.0656

FAQ

What is the cube root of 1.1?

∛1.1 ≈ 1.0323

How to find ∛1.1 without a calculator?

Bracket it between cubes: 1³ = 1 < 1.1 < 8 = 2³, so ∛1.1 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛1.1 ≈ 1.0323; 1.1 is not the cube of a decimal, so the root never ends.

Is ∛1.1 a rational number?

No: 1.1 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 ∛1.1 is irrational; its decimal never ends and never repeats: ∛1.1 ≈ 1.0323.

See Also