Cube Root of 425

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Cube root of

What is the cube root of 425?

Answer

∛425 ≈
7.5185

Real cube root: the only number whose cube is 425.

≈ — rounded to 4 decimal places. 425 is not the cube of a rational number, so ∛425 is irrational: its decimal expansion never ends and never repeats.

Prime factors
425 = 5 × 5 × 17 = 5² × 17
Take out of the root
No prime appears three times, so ∛425 is already in simplest form.
Between cubes
7³ = 343 < 425 < 512 = 8³, so 7 < ∛425 < 8 and ∛425 ≈ 7.5185

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3362∛42 ≈ 6.9521
3437
3755∛3 ≈ 7.2112
425≈ 7.5185
4326∛2 ≈ 7.5595
445≈ 7.6346
4484∛7 ≈ 7.6517

FAQ

What is the cube root of 425?

∛425 ≈ 7.5185

Can ∛425 be simplified?

No: no prime appears three times in 425, so its only cube factor is 1 and ∛425 is already in simplest form. Since 7³ = 343 < 425 < 512 = 8³, ∛425 lies between 7 and 8: ∛425 ≈ 7.5185.

Is ∛425 a rational number?

No: 425 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 ∛425 is irrational; its decimal never ends and never repeats: ∛425 ≈ 7.5185.

See Also