Cube Root of 131

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Cube root of

What is the cube root of 131?

Answer

∛131 ≈
5.0788

Real cube root: the only number whose cube is 131.

≈ — rounded to 4 decimal places. 131 is not the cube of a rational number, so ∛131 is irrational: its decimal expansion never ends and never repeats.

Prime factors
131 is a prime number: no triple of equal factors.
Between cubes
5³ = 125 < 131 < 216 = 6³, so 5 < ∛131 < 6 and ∛131 ≈ 5.0788

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
127≈ 5.0265
1284∛2 ≈ 5.0397
129≈ 5.0528
131≈ 5.0788
132≈ 5.0916
1353∛5 ≈ 5.1299
1362∛17 ≈ 5.1426

FAQ

What is the cube root of 131?

∛131 ≈ 5.0788

Can ∛131 be simplified?

No: no prime appears three times in 131, so its only cube factor is 1 and ∛131 is already in simplest form. Since 5³ = 125 < 131 < 216 = 6³, ∛131 lies between 5 and 6: ∛131 ≈ 5.0788.

Is ∛131 a rational number?

No: 131 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 ∛131 is irrational; its decimal never ends and never repeats: ∛131 ≈ 5.0788.

See Also