Cube Root of 3/8

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Cube root of

What is the cube root of 3/8?

Answer

∛(3/8) =
∛3/2 ≈ 0.7211

Real cube root: the only number whose cube is 3/8.

≈ — rounded to 4 decimal places. 3/8 is not the cube of a rational number, so ∛(3/8) is irrational: its decimal expansion never ends and never repeats.

Root of a fraction
∛(3/8) = ∛3/∛8 = ∛3/2 ≈ 0.7211

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
343/10007/10 = 0.7
0.36≈ 0.7114
125/3435/7 ≈ 0.7143
3/8∛3/2 ≈ 0.7211
27/643/4 = 0.75
343/7297/9 ≈ 0.7778
0.5≈ 0.7937

FAQ

What is the cube root of 3/8?

∛(3/8) = ∛3/2 ≈ 0.7211

Why is ∛(3/8) = ∛3/2?

The cube root of a fraction is the cube root of the numerator over the cube root of the denominator: ∛(3/8) = ∛3/∛8 = ∛3/2, because 2³ = 8.

Is ∛(3/8) a rational number?

No: 3/8 is not the cube of a rational number, and the cube root of a fraction p/q in lowest terms is rational only when p and q are both cubes. So ∛(3/8) is irrational; its decimal never ends and never repeats: ∛(3/8) ≈ 0.7211.

See Also