Cube Root of 125/512

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Cube root of

What is the cube root of 125/512?

Answer

∛(125/512) =
5/8 = 0.625

Real cube root: the only number whose cube is 125/512.

Root of a fraction
∛(125/512) = ∛125/∛512 = 5/8

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
0.2160.6
27/1253/5 = 0.6
2/9∛6/3 ≈ 0.6057
125/5125/8 = 0.625
0.25≈ 0.63
1/4∛2/2 ≈ 0.63
8/272/3 ≈ 0.6667

FAQ

What is the cube root of 125/512?

∛(125/512) = 5/8 = 0.625

Why is ∛(125/512) = 5/8?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(125/512) = ∛125/∛512 = 5/8, because 5³ = 125 and 8³ = 512.

Is ∛(125/512) a rational number?

Yes: ∛(125/512) = 5/8 = 0.625, a terminating decimal.

See Also