Cube Root of 1/216

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What is the cube root of 1/216?

Answer

∛(1/216) =
1/6 ≈ 0.1667

Real cube root: the only number whose cube is 1/216.

≈ — 1/6 = 0.1666…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(1/216) = ∛1/∛216 = 1/6

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1/5121/8 = 0.125
0.002≈ 0.126
1/3431/7 ≈ 0.1429
1/2161/6 ≈ 0.1667
0.0080.2
1/1251/5 = 0.2
8/7292/9 ≈ 0.2222

FAQ

What is the cube root of 1/216?

∛(1/216) = 1/6 ≈ 0.1667

Why is ∛(1/216) = 1/6?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/216) = ∛1/∛216 = 1/6, because 1³ = 1 and 6³ = 216.

Is ∛(1/216) a rational number?

Yes: ∛(1/216) = 1/6 ≈ 0.1667 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also