Cube Root of 1/27

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What is the cube root of 1/27?

Answer

∛(1/27) =
1/3 ≈ 0.3333

Real cube root: the only number whose cube is 1/27.

≈ — 1/3 = 0.3333…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(1/27) = ∛1/∛27 = 1/3

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
0.025≈ 0.2924
0.0270.3
27/10003/10 = 0.3
1/271/3 ≈ 0.3333
0.04≈ 0.342
1/25∛5/5 ≈ 0.342
27/5123/8 = 0.375

FAQ

What is the cube root of 1/27?

∛(1/27) = 1/3 ≈ 0.3333

Why is ∛(1/27) = 1/3?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/27) = ∛1/∛27 = 1/3, because 1³ = 1 and 3³ = 27.

Is ∛(1/27) a rational number?

Yes: ∛(1/27) = 1/3 ≈ 0.3333 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also