Cube Root of 1/125

Cube Root Calculator
Cube root of

What is the cube root of 1/125?

Answer

∛(1/125) =
1/5 = 0.2

Real cube root: the only number whose cube is 1/125.

1/125 = 0.008.

Root of a fraction
∛(1/125) = ∛1/∛125 = 1/5

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/3431/7 ≈ 0.1429
1/2161/6 ≈ 0.1667
0.0080.2
1/1251/5 = 0.2
8/7292/9 ≈ 0.2222
1/641/4 = 0.25
0.02≈ 0.2714

FAQ

What is the cube root of 1/125?

∛(1/125) = 1/5 = 0.2

Why is ∛(1/125) = 1/5?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/125) = ∛1/∛125 = 1/5, because 1³ = 1 and 5³ = 125.

Is ∛(1/125) a rational number?

Yes: ∛(1/125) = 1/5 = 0.2, a terminating decimal.

See Also