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What is the cube root of 2,917?

Answer

∛2,917 ≈
14.2882

Real cube root: the only number whose cube is 2,917.

≈ — rounded to 4 decimal places. 2,917 is not the cube of a rational number, so ∛2,917 is irrational: its decimal expansion never ends and never repeats.

Prime factors
2,917 is a prime number: no triple of equal factors.
Between cubes
14³ = 2,744 < 2,917 < 3,375 = 15³, so 14 < ∛2,917 < 15 and ∛2,917 ≈ 14.2882

See Also

FAQ

What is the cube root of 2,917?

∛2,917 ≈ 14.2882

Can ∛2,917 be simplified?

No: no prime appears three times in 2,917, so its only cube factor is 1 and ∛2,917 is already in simplest form. Since 14³ = 2,744 < 2,917 < 3,375 = 15³, ∛2,917 lies between 14 and 15: ∛2,917 ≈ 14.2882.

Is ∛2,917 a rational number?

No: 2,917 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 ∛2,917 is irrational; its decimal never ends and never repeats: ∛2,917 ≈ 14.2882.