Cube Root of 124

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Cube root of

What is the cube root of 124?

Answer

∛124 ≈
4.9866

Real cube root: the only number whose cube is 124.

≈ — rounded to 4 decimal places. 124 is not the cube of a rational number, so ∛124 is irrational: its decimal expansion never ends and never repeats.

Prime factors
124 = 2 × 2 × 31 = 2² × 31
Take out of the root
No prime appears three times, so ∛124 is already in simplest form.
Between cubes
4³ = 64 < 124 < 125 = 5³, so 4 < ∛124 < 5 and ∛124 ≈ 4.9866

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
121≈ 4.9461
122≈ 4.9597
123≈ 4.9732
124≈ 4.9866
1255
126≈ 5.0133
127≈ 5.0265

FAQ

What is the cube root of 124?

∛124 ≈ 4.9866

Can ∛124 be simplified?

No: no prime appears three times in 124, so its only cube factor is 1 and ∛124 is already in simplest form. Since 4³ = 64 < 124 < 125 = 5³, ∛124 lies between 4 and 5: ∛124 ≈ 4.9866.

Is ∛124 a rational number?

No: 124 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 ∛124 is irrational; its decimal never ends and never repeats: ∛124 ≈ 4.9866.

See Also