Cube Root of 127

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Cube root of

What is the cube root of 127?

Answer

∛127 ≈
5.0265

Real cube root: the only number whose cube is 127.

≈ — rounded to 4 decimal places. 127 is not the cube of a rational number, so ∛127 is irrational: its decimal expansion never ends and never repeats.

Prime factors
127 is a prime number: no triple of equal factors.
Between cubes
5³ = 125 < 127 < 216 = 6³, so 5 < ∛127 < 6 and ∛127 ≈ 5.0265

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
124≈ 4.9866
1255
126≈ 5.0133
127≈ 5.0265
1284∛2 ≈ 5.0397
129≈ 5.0528
131≈ 5.0788

FAQ

What is the cube root of 127?

∛127 ≈ 5.0265

Can ∛127 be simplified?

No: no prime appears three times in 127, so its only cube factor is 1 and ∛127 is already in simplest form. Since 5³ = 125 < 127 < 216 = 6³, ∛127 lies between 5 and 6: ∛127 ≈ 5.0265.

Is ∛127 a rational number?

No: 127 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 ∛127 is irrational; its decimal never ends and never repeats: ∛127 ≈ 5.0265.

See Also