Cube Root of 8/27

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What is the cube root of 8/27?

Answer

∛(8/27) =
2/3 ≈ 0.6667

Real cube root: the only number whose cube is 8/27.

≈ — 2/3 = 0.6666…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(8/27) = ∛8/∛27 = 2/3

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
125/5125/8 = 0.625
0.25≈ 0.63
1/4∛2/2 ≈ 0.63
8/272/3 ≈ 0.6667
0.3≈ 0.6694
1/3∛9/3 ≈ 0.6934
0.3430.7

FAQ

What is the cube root of 8/27?

∛(8/27) = 2/3 ≈ 0.6667

Why is ∛(8/27) = 2/3?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(8/27) = ∛8/∛27 = 2/3, because 2³ = 8 and 3³ = 27.

Is ∛(8/27) a rational number?

Yes: ∛(8/27) = 2/3 ≈ 0.6667 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also