Cube Root of 1.5

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Cube root of

What is the cube root of 1.5?

Answer

∛1.5 ≈
1.1447

Real cube root: the only number whose cube is 1.5.

≈ — rounded to 4 decimal places. 1.5 is not the cube of a rational number, so ∛1.5 is irrational: its decimal expansion never ends and never repeats.

1.5 = 3/2.

Between cubes
1³ = 1 < 1.5 < 8 = 2³, so 1 < ∛1.5 < 2 and ∛1.5 ≈ 1.1447

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
1.3311.1
4/3∛36/3 ≈ 1.1006
1.4≈ 1.1187
1.5≈ 1.1447
3/2∛12/2 ≈ 1.1447
5/3∛45/3 ≈ 1.1856
1.7281.2

FAQ

What is the cube root of 1.5?

∛1.5 ≈ 1.1447

How to find ∛1.5 without a calculator?

Bracket it between cubes: 1³ = 1 < 1.5 < 8 = 2³, so ∛1.5 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛1.5 ≈ 1.1447; 1.5 is not the cube of a decimal, so the root never ends.

Is ∛1.5 a rational number?

No: 1.5 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 ∛1.5 is irrational; its decimal never ends and never repeats: ∛1.5 ≈ 1.1447.

See Also