Cube Root of 325

Cube Root Calculator
Cube root of

What is the cube root of 325?

Answer

∛325 ≈
6.8753

Real cube root: the only number whose cube is 325.

≈ — rounded to 4 decimal places. 325 is not the cube of a rational number, so ∛325 is irrational: its decimal expansion never ends and never repeats.

Prime factors
325 = 5 × 5 × 13 = 5² × 13
Take out of the root
No prime appears three times, so ∛325 is already in simplest form.
Between cubes
6³ = 216 < 325 < 343 = 7³, so 6 < ∛325 < 7 and ∛325 ≈ 6.8753

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
300≈ 6.6943
323≈ 6.8612
3243∛12 ≈ 6.8683
325≈ 6.8753
327≈ 6.8894
329≈ 6.9034
330≈ 6.9104

FAQ

What is the cube root of 325?

∛325 ≈ 6.8753

Can ∛325 be simplified?

No: no prime appears three times in 325, so its only cube factor is 1 and ∛325 is already in simplest form. Since 6³ = 216 < 325 < 343 = 7³, ∛325 lies between 6 and 7: ∛325 ≈ 6.8753.

Is ∛325 a rational number?

No: 325 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 ∛325 is irrational; its decimal never ends and never repeats: ∛325 ≈ 6.8753.

See Also