Cube Root of 64/343

Cube Root Calculator

What is the cube root of 64/343?

Answer

∛(64/343) =

4/7 ≈ 0.5714

Real cube root: the only number whose cube is 64/343.

≈ — 4/7 = 0.5714…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(64/343) = ∛64/∛343 = 4/7

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
0.125	0.5
1/8	1/2 = 0.5
125/729	5/9 ≈ 0.5556
64/343	4/7 ≈ 0.5714
0.2	≈ 0.5848
0.216	0.6
27/125	3/5 = 0.6

FAQ

What is the cube root of 64/343?

∛(64/343) = 4/7 ≈ 0.5714

Why is ∛(64/343) = 4/7?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(64/343) = ∛64/∛343 = 4/7, because 4³ = 64 and 7³ = 343.

Is ∛(64/343) a rational number?

Yes: ∛(64/343) = 4/7 ≈ 0.5714 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also