Cube Root of 343/512

Cube Root Calculator

What is the cube root of 343/512?

Answer

∛(343/512) =

7/8 = 0.875

Real cube root: the only number whose cube is 343/512.

Root of a fraction: ∛(343/512) = ∛343/∛512 = 7/8

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
3/5	∛75/5 ≈ 0.8434
216/343	6/7 ≈ 0.8571
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

FAQ

What is the cube root of 343/512?

∛(343/512) = 7/8 = 0.875

Why is ∛(343/512) = 7/8?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(343/512) = ∛343/∛512 = 7/8, because 7³ = 343 and 8³ = 512.

Is ∛(343/512) a rational number?

Yes: ∛(343/512) = 7/8 = 0.875, a terminating decimal.

See Also