Cube Root of 925

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What is the cube root of 925?

Answer

∛925 ≈
9.7435

Real cube root: the only number whose cube is 925.

≈ — rounded to 4 decimal places. 925 is not the cube of a rational number, so ∛925 is irrational: its decimal expansion never ends and never repeats.

Prime factors
925 = 5 × 5 × 37 = 5² × 37
Take out of the root
No prime appears three times, so ∛925 is already in simplest form.
Between cubes
9³ = 729 < 925 < 1,000 = 10³, so 9 < ∛925 < 10 and ∛925 ≈ 9.7435

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FAQ

What is the cube root of 925?

∛925 ≈ 9.7435

Can ∛925 be simplified?

No: no prime appears three times in 925, so its only cube factor is 1 and ∛925 is already in simplest form. Since 9³ = 729 < 925 < 1,000 = 10³, ∛925 lies between 9 and 10: ∛925 ≈ 9.7435.

Is ∛925 a rational number?

No: 925 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 ∛925 is irrational; its decimal never ends and never repeats: ∛925 ≈ 9.7435.