Cube Root of 121

Cube Root Calculator
Cube root of

What is the cube root of 121?

Answer

∛121 ≈
4.9461

Real cube root: the only number whose cube is 121.

≈ — rounded to 4 decimal places. 121 is not the cube of a rational number, so ∛121 is irrational: its decimal expansion never ends and never repeats.

Prime factors
121 = 11 × 11 = 11²
Take out of the root
No prime appears three times, so ∛121 is already in simplest form.
Between cubes
4³ = 64 < 121 < 125 = 5³, so 4 < ∛121 < 5 and ∛121 ≈ 4.9461

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
117≈ 4.891
119≈ 4.9187
1202∛15 ≈ 4.9324
121≈ 4.9461
122≈ 4.9597
123≈ 4.9732
124≈ 4.9866

FAQ

What is the cube root of 121?

∛121 ≈ 4.9461

Can ∛121 be simplified?

No: no prime appears three times in 121, so its only cube factor is 1 and ∛121 is already in simplest form. Since 4³ = 64 < 121 < 125 = 5³, ∛121 lies between 4 and 5: ∛121 ≈ 4.9461.

Is ∛121 a rational number?

No: 121 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 ∛121 is irrational; its decimal never ends and never repeats: ∛121 ≈ 4.9461.

See Also