Cube Root of 122

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Cube root of

What is the cube root of 122?

Answer

∛122 ≈
4.9597

Real cube root: the only number whose cube is 122.

≈ — rounded to 4 decimal places. 122 is not the cube of a rational number, so ∛122 is irrational: its decimal expansion never ends and never repeats.

Prime factors
122 = 2 × 61
Take out of the root
No prime appears three times, so ∛122 is already in simplest form.
Between cubes
4³ = 64 < 122 < 125 = 5³, so 4 < ∛122 < 5 and ∛122 ≈ 4.9597

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
119≈ 4.9187
1202∛15 ≈ 4.9324
121≈ 4.9461
122≈ 4.9597
123≈ 4.9732
124≈ 4.9866
1255

FAQ

What is the cube root of 122?

∛122 ≈ 4.9597

Can ∛122 be simplified?

No: no prime appears three times in 122, so its only cube factor is 1 and ∛122 is already in simplest form. Since 4³ = 64 < 122 < 125 = 5³, ∛122 lies between 4 and 5: ∛122 ≈ 4.9597.

Is ∛122 a rational number?

No: 122 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 ∛122 is irrational; its decimal never ends and never repeats: ∛122 ≈ 4.9597.

See Also