Cube Root of 125/343

Cube Root Calculator

What is the cube root of 125/343?

Answer

∛(125/343) =

5/7 ≈ 0.7143

Real cube root: the only number whose cube is 125/343.

≈ — 5/7 = 0.7142…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(125/343) = ∛125/∛343 = 5/7

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
0.343	0.7
343/1000	7/10 = 0.7
0.36	≈ 0.7114
125/343	5/7 ≈ 0.7143
3/8	∛3/2 ≈ 0.7211
27/64	3/4 = 0.75
343/729	7/9 ≈ 0.7778

FAQ

What is the cube root of 125/343?

∛(125/343) = 5/7 ≈ 0.7143

Why is ∛(125/343) = 5/7?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(125/343) = ∛125/∛343 = 5/7, because 5³ = 125 and 7³ = 343.

Is ∛(125/343) a rational number?

Yes: ∛(125/343) = 5/7 ≈ 0.7143 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also