Cube Root of 343/729

Cube Root Calculator

What is the cube root of 343/729?

Answer

∛(343/729) =

7/9 ≈ 0.7778

Real cube root: the only number whose cube is 343/729.

≈ — 7/9 = 0.7777…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(343/729) = ∛343/∛729 = 7/9

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
125/343	5/7 ≈ 0.7143
3/8	∛3/2 ≈ 0.7211
27/64	3/4 = 0.75
343/729	7/9 ≈ 0.7778
0.5	≈ 0.7937
1/2	∛4/2 ≈ 0.7937
0.512	0.8

FAQ

What is the cube root of 343/729?

∛(343/729) = 7/9 ≈ 0.7778

Why is ∛(343/729) = 7/9?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(343/729) = ∛343/∛729 = 7/9, because 7³ = 343 and 9³ = 729.

Is ∛(343/729) a rational number?

Yes: ∛(343/729) = 7/9 ≈ 0.7778 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also