Cube Root of 4.5

Cube Root Calculator
Cube root of

What is the cube root of 4.5?

Answer

∛4.5 ≈
1.651

Real cube root: the only number whose cube is 4.5.

≈ — rounded to 4 decimal places. 4.5 is not the cube of a rational number, so ∛4.5 is irrational: its decimal expansion never ends and never repeats.

4.5 = 9/2.

Between cubes
1³ = 1 < 4.5 < 8 = 2³, so 1 < ∛4.5 < 2 and ∛4.5 ≈ 1.651

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3.3751.5
4≈ 1.5874
4.0961.6
4.5≈ 1.651
9/2∛36/2 ≈ 1.651
125/275/3 ≈ 1.6667
4.9131.7

FAQ

What is the cube root of 4.5?

∛4.5 ≈ 1.651

How to find ∛4.5 without a calculator?

Bracket it between cubes: 1³ = 1 < 4.5 < 8 = 2³, so ∛4.5 lies between 1 and 2. Narrowing the bracket digit by digit gives ∛4.5 ≈ 1.651; 4.5 is not the cube of a decimal, so the root never ends.

Is ∛4.5 a rational number?

No: 4.5 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 ∛4.5 is irrational; its decimal never ends and never repeats: ∛4.5 ≈ 1.651.

See Also