Cube Root of 27/343

Cube Root Calculator

What is the cube root of 27/343?

Answer

∛(27/343) =

3/7 ≈ 0.4286

Real cube root: the only number whose cube is 27/343.

≈ — 3/7 = 0.4285…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(27/343) = ∛27/∛343 = 3/7

See Also

Square Root Calculator - Calculate the square root of any number
Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
Prime Factorization - Prime Factorization Calculator
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
27/512	3/8 = 0.375
0.064	0.4
8/125	2/5 = 0.4
27/343	3/7 ≈ 0.4286
0.08	≈ 0.4309
64/729	4/9 ≈ 0.4444
0.1	≈ 0.4642

FAQ

What is the cube root of 27/343?

∛(27/343) = 3/7 ≈ 0.4286

Why is ∛(27/343) = 3/7?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(27/343) = ∛27/∛343 = 3/7, because 3³ = 27 and 7³ = 343.

Is ∛(27/343) a rational number?

Yes: ∛(27/343) = 3/7 ≈ 0.4286 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also