Cube Root of 1.12

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What is the cube root of 1.12?

Answer

∛1.12 ≈
1.0385

Real cube root: the only number whose cube is 1.12.

≈ — rounded to 4 decimal places. 1.12 is not the cube of a rational number, so ∛1.12 is irrational: its decimal expansion never ends and never repeats.

Between cubes
1³ = 1 < 1.12 < 8 = 2³, so 1 < ∛1.12 < 2 and ∛1.12 ≈ 1.0385

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
4/5∛100/5 ≈ 0.9283
11
1.1≈ 1.0323
1.12≈ 1.0385
1.2≈ 1.0627
1.21≈ 1.0656
1.25≈ 1.0772

FAQ

What is the cube root of 1.12?

∛1.12 ≈ 1.0385

How to find ∛1.12 without a calculator?

Bracket it between cubes: 1³ = 1 < 1.12 < 8 = 2³, so ∛1.12 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛1.12 ≈ 1.0385; 1.12 is not the cube of a decimal, so the root never ends.

Is ∛1.12 a rational number?

No: 1.12 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 ∛1.12 is irrational; its decimal never ends and never repeats: ∛1.12 ≈ 1.0385.

See Also