Cube Root of 450

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Cube root of

What is the cube root of 450?

Answer

∛450 ≈
7.6631

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

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

Prime factors
450 = 2 × 3 × 3 × 5 × 5 = 2 × 3² × 5²
Take out of the root
No prime appears three times, so ∛450 is already in simplest form.
Between cubes
7³ = 343 < 450 < 512 = 8³, so 7 < ∛450 < 8 and ∛450 ≈ 7.6631

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
4326∛2 ≈ 7.5595
445≈ 7.6346
4484∛7 ≈ 7.6517
450≈ 7.6631
458≈ 7.7082
474.5527.8
4802∛60 ≈ 7.8297

FAQ

What is the cube root of 450?

∛450 ≈ 7.6631

Can ∛450 be simplified?

No: no prime appears three times in 450, so its only cube factor is 1 and ∛450 is already in simplest form. Since 7³ = 343 < 450 < 512 = 8³, ∛450 lies between 7 and 8: ∛450 ≈ 7.6631.

Is ∛450 a rational number?

No: 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 ∛450 is irrational; its decimal never ends and never repeats: ∛450 ≈ 7.6631.

See Also