Cube Root of 1.21

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Cube root of

What is the cube root of 1.21?

Answer

∛1.21 ≈
1.0656

Real cube root: the only number whose cube is 1.21.

≈ — rounded to 4 decimal places. 1.21 is not the cube of a rational number, so ∛1.21 is irrational: its decimal expansion never ends and never repeats.

Between cubes
1³ = 1 < 1.21 < 8 = 2³, so 1 < ∛1.21 < 2 and ∛1.21 ≈ 1.0656

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1.1≈ 1.0323
1.12≈ 1.0385
1.2≈ 1.0627
1.21≈ 1.0656
1.25≈ 1.0772
5/4∛10/2 ≈ 1.0772
1.33≈ 1.0997

FAQ

What is the cube root of 1.21?

∛1.21 ≈ 1.0656

How to find ∛1.21 without a calculator?

Bracket it between cubes: 1³ = 1 < 1.21 < 8 = 2³, so ∛1.21 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛1.21 ≈ 1.0656; 1.21 is not the cube of a decimal, so the root never ends.

Is ∛1.21 a rational number?

No: 1.21 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 ∛1.21 is irrational; its decimal never ends and never repeats: ∛1.21 ≈ 1.0656.

See Also