Cube Root of 64/729

Cube Root Calculator

What is the cube root of 64/729?

Answer

∛(64/729) =

4/9 ≈ 0.4444

Real cube root: the only number whose cube is 64/729.

≈ — 4/9 = 0.4444…, a repeating decimal; rounded to 4 decimal places.

Root of a fraction: ∛(64/729) = ∛64/∛729 = 4/9

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
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
0.125	0.5
1/8	1/2 = 0.5

FAQ

What is the cube root of 64/729?

∛(64/729) = 4/9 ≈ 0.4444

Why is ∛(64/729) = 4/9?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(64/729) = ∛64/∛729 = 4/9, because 4³ = 64 and 9³ = 729.

Is ∛(64/729) a rational number?

Yes: ∛(64/729) = 4/9 ≈ 0.4444 — a fraction whose decimal repeats, which is why it is shown with ≈.

See Also