Cube Root of 125/27

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What is the cube root of 125/27?

Answer

∛(125/27) =
5/3 ≈ 1.6667

Real cube root: the only number whose cube is 125/27.

≈ — 5/3 = 1.6666…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(125/27) = ∛125/∛27 = 5/3

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
4.0961.6
4.5≈ 1.651
9/2∛36/2 ≈ 1.651
125/275/3 ≈ 1.6667
4.9131.7
5≈ 1.71
5.8321.8

FAQ

What is the cube root of 125/27?

∛(125/27) = 5/3 ≈ 1.6667

Why is ∛(125/27) = 5/3?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(125/27) = ∛125/∛27 = 5/3, because 5³ = 125 and 3³ = 27.

Is ∛(125/27) a rational number?

Yes: ∛(125/27) = 5/3 ≈ 1.6667 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also