Cube Root of 512/729

Cube Root Calculator

What is the cube root of 512/729?

Answer

∛(512/729) =

8/9 ≈ 0.8889

Real cube root: the only number whose cube is 512/729.

≈ — 8/9 = 0.8888…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(512/729) = ∛512/∛729 = 8/9

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
2/3	∛18/3 ≈ 0.8736
343/512	7/8 = 0.875
0.69	≈ 0.8837
512/729	8/9 ≈ 0.8889
0.729	0.9
729/1000	9/10 = 0.9
3/4	∛6/2 ≈ 0.9086

FAQ

What is the cube root of 512/729?

∛(512/729) = 8/9 ≈ 0.8889

Why is ∛(512/729) = 8/9?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(512/729) = ∛512/∛729 = 8/9, because 8³ = 512 and 9³ = 729.

Is ∛(512/729) a rational number?

Yes: ∛(512/729) = 8/9 ≈ 0.8889 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also