Cube Root of 730

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What is the cube root of 730?

Answer

∛730 ≈
9.0041

Real cube root: the only number whose cube is 730.

≈ — rounded to 4 decimal places. 730 is not the cube of a rational number, so ∛730 is irrational: its decimal expansion never ends and never repeats.

Prime factors
730 = 2 × 5 × 73
Take out of the root
No prime appears three times, so ∛730 is already in simplest form.
Between cubes
9³ = 729 < 730 < 1,000 = 10³, so 9 < ∛730 < 10 and ∛730 ≈ 9.0041

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FAQ

What is the cube root of 730?

∛730 ≈ 9.0041

Can ∛730 be simplified?

No: no prime appears three times in 730, so its only cube factor is 1 and ∛730 is already in simplest form. Since 9³ = 729 < 730 < 1,000 = 10³, ∛730 lies between 9 and 10: ∛730 ≈ 9.0041.

Is ∛730 a rational number?

No: 730 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 ∛730 is irrational; its decimal never ends and never repeats: ∛730 ≈ 9.0041.