Cube Root of 292

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Cube root of

What is the cube root of 292?

Answer

∛292 ≈
6.6343

Real cube root: the only number whose cube is 292.

≈ — rounded to 4 decimal places. 292 is not the cube of a rational number, so ∛292 is irrational: its decimal expansion never ends and never repeats.

Prime factors
292 = 2 × 2 × 73 = 2² × 73
Take out of the root
No prime appears three times, so ∛292 is already in simplest form.
Between cubes
6³ = 216 < 292 < 343 = 7³, so 6 < ∛292 < 7 and ∛292 ≈ 6.6343

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
2882∛36 ≈ 6.6039
289≈ 6.6115
290≈ 6.6191
292≈ 6.6343
2962∛37 ≈ 6.6644
2973∛11 ≈ 6.6719
300≈ 6.6943

FAQ

What is the cube root of 292?

∛292 ≈ 6.6343

Can ∛292 be simplified?

No: no prime appears three times in 292, so its only cube factor is 1 and ∛292 is already in simplest form. Since 6³ = 216 < 292 < 343 = 7³, ∛292 lies between 6 and 7: ∛292 ≈ 6.6343.

Is ∛292 a rational number?

No: 292 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 ∛292 is irrational; its decimal never ends and never repeats: ∛292 ≈ 6.6343.

See Also