Cube Root of 125/216

Cube Root Calculator

What is the cube root of 125/216?

Answer

∛(125/216) =

5/6 ≈ 0.8333

Real cube root: the only number whose cube is 125/216.

≈ — 5/6 = 0.8333…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(125/216) = ∛125/∛216 = 5/6

See Also

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Scientific Calculator with Memory & History - Free Engineering Calculator Online with Memory Function, Operation History, Logarithms & Trigonometry. Similar to ti-83, ti-84, ti-89

Recalculate with different values ↑

Cube roots of nearby values

N	∛N
1/2	∛4/2 ≈ 0.7937
0.512	0.8
64/125	4/5 = 0.8
125/216	5/6 ≈ 0.8333
3/5	∛75/5 ≈ 0.8434
216/343	6/7 ≈ 0.8571
2/3	∛18/3 ≈ 0.8736

FAQ

What is the cube root of 125/216?

∛(125/216) = 5/6 ≈ 0.8333

Why is ∛(125/216) = 5/6?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(125/216) = ∛125/∛216 = 5/6, because 5³ = 125 and 6³ = 216.

Is ∛(125/216) a rational number?

Yes: ∛(125/216) = 5/6 ≈ 0.8333 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also