Cube Root of 2450

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What is the cube root of 2,450?

Answer

∛2,450 ≈
13.481

Real cube root: the only number whose cube is 2,450.

≈ — rounded to 4 decimal places. 2,450 is not the cube of a rational number, so ∛2,450 is irrational: its decimal expansion never ends and never repeats.

Prime factors
2,450 = 2 × 5 × 5 × 7 × 7 = 2 × 5² × 7²
Take out of the root
No prime appears three times, so ∛2,450 is already in simplest form.
Between cubes
13³ = 2,197 < 2,450 < 2,744 = 14³, so 13 < ∛2,450 < 14 and ∛2,450 ≈ 13.481

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
2,300≈ 13.2001
2,4002∛300 ≈ 13.3887
2,4017∛7 ≈ 13.3905
2,450≈ 13.481
2,5926∛12 ≈ 13.7366
2,74414
2,8804∛45 ≈ 14.2276

FAQ

What is the cube root of 2,450?

∛2,450 ≈ 13.481

Can ∛2,450 be simplified?

No: no prime appears three times in 2,450, so its only cube factor is 1 and ∛2,450 is already in simplest form. Since 13³ = 2,197 < 2,450 < 2,744 = 14³, ∛2,450 lies between 13 and 14: ∛2,450 ≈ 13.481.

Is ∛2,450 a rational number?

No: 2,450 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 ∛2,450 is irrational; its decimal never ends and never repeats: ∛2,450 ≈ 13.481.

See Also