Cube Root of 445

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Cube root of

What is the cube root of 445?

Answer

∛445 ≈
7.6346

Real cube root: the only number whose cube is 445.

≈ — rounded to 4 decimal places. 445 is not the cube of a rational number, so ∛445 is irrational: its decimal expansion never ends and never repeats.

Prime factors
445 = 5 × 89
Take out of the root
No prime appears three times, so ∛445 is already in simplest form.
Between cubes
7³ = 343 < 445 < 512 = 8³, so 7 < ∛445 < 8 and ∛445 ≈ 7.6346

Related Calculations

See Also

Recalculate with different values ↑

Cube roots of nearby values

N∛N
3755∛3 ≈ 7.2112
425≈ 7.5185
4326∛2 ≈ 7.5595
445≈ 7.6346
4484∛7 ≈ 7.6517
450≈ 7.6631
458≈ 7.7082

FAQ

What is the cube root of 445?

∛445 ≈ 7.6346

Can ∛445 be simplified?

No: no prime appears three times in 445, so its only cube factor is 1 and ∛445 is already in simplest form. Since 7³ = 343 < 445 < 512 = 8³, ∛445 lies between 7 and 8: ∛445 ≈ 7.6346.

Is ∛445 a rational number?

No: 445 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 ∛445 is irrational; its decimal never ends and never repeats: ∛445 ≈ 7.6346.

See Also