Cube Root of 1/343

Cube Root Calculator

What is the cube root of 1/343?

Answer

∛(1/343) =

1/7 ≈ 0.1429

Real cube root: the only number whose cube is 1/343.

≈ — 1/7 = 0.1428…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(1/343) = ∛1/∛343 = 1/7

See Also

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Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
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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
0.001728	0.12
1/512	1/8 = 0.125
0.002	≈ 0.126
1/343	1/7 ≈ 0.1429
1/216	1/6 ≈ 0.1667
0.008	0.2
1/125	1/5 = 0.2

FAQ

What is the cube root of 1/343?

∛(1/343) = 1/7 ≈ 0.1429

Why is ∛(1/343) = 1/7?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(1/343) = ∛1/∛343 = 1/7, because 1³ = 1 and 7³ = 343.

Is ∛(1/343) a rational number?

Yes: ∛(1/343) = 1/7 ≈ 0.1429 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also