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Berechne die n-te Wurzel einer Zahl. Quadratwurzel, Kubikwurzel oder jede beliebige Wurzel.
Ergebnis
3.00000000
Formel
## How to Calculate the Nth Root ### Formula **ⁿ√x = x^(1/n)** The nth root of x is the number that, when raised to the nth power, gives x. ### Common Roots - **Square root** (n=2): √x = x^(1/2) - **Cube root** (n=3): ∛x = x^(1/3) - **Fourth root** (n=4): ⁴√x = x^(1/4)
Lösungsbeispiel
Find the cube root of 27.
- 01∛27 = 27^(1/3)
- 02= 3
- 03Verification: 3³ = 27
Häufig Gestellte Fragen
What is an nth root?
The nth root of a number x is the value that, when multiplied by itself n times, equals x. For example, the 4th root of 16 is 2 because 2⁴ = 16.
How is nth root related to exponents?
Taking the nth root is the same as raising to the power 1/n. So ⁿ√x = x^(1/n).
Can you take the nth root of a negative number?
For odd values of n, yes. For example, ∛(-8) = -2. For even values of n, the nth root of a negative number is not a real number.
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