Cube Root of 8/343

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Cube root of

What is the cube root of 8/343?

Answer

∛(8/343) =
2/7 ≈ 0.2857

Real cube root: the only number whose cube is 8/343.

≈ — 2/7 = 0.2857…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction
∛(8/343) = ∛8/∛343 = 2/7

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
8/7292/9 ≈ 0.2222
1/641/4 = 0.25
0.02≈ 0.2714
8/3432/7 ≈ 0.2857
3/125∛3/5 ≈ 0.2884
0.025≈ 0.2924
0.0270.3

FAQ

What is the cube root of 8/343?

∛(8/343) = 2/7 ≈ 0.2857

Why is ∛(8/343) = 2/7?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(8/343) = ∛8/∛343 = 2/7, because 2³ = 8 and 7³ = 343.

Is ∛(8/343) a rational number?

Yes: ∛(8/343) = 2/7 ≈ 0.2857 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also