Cube Root of 216/343

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What is the cube root of 216/343?

Answer

∛(216/343) =
6/7 ≈ 0.8571

Real cube root: the only number whose cube is 216/343.

≈ — 6/7 = 0.8571…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(216/343) = ∛216/∛343 = 6/7

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
64/1254/5 = 0.8
125/2165/6 ≈ 0.8333
3/5∛75/5 ≈ 0.8434
216/3436/7 ≈ 0.8571
2/3∛18/3 ≈ 0.8736
343/5127/8 = 0.875
0.69≈ 0.8837

FAQ

What is the cube root of 216/343?

∛(216/343) = 6/7 ≈ 0.8571

Why is ∛(216/343) = 6/7?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(216/343) = ∛216/∛343 = 6/7, because 6³ = 216 and 7³ = 343.

Is ∛(216/343) a rational number?

Yes: ∛(216/343) = 6/7 ≈ 0.8571 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also