Fourth Root Calculator

Calculate Fourth Root

Formula

The formula to calculate the Fourth Root is:

\[ \text{Fourth Root} = X^{\frac{1}{4}} \]

Where:

Definitions

Example

Let's say the number (X) is 16. Using the formula:

\[ \text{Fourth Root} = 16^{\frac{1}{4}} \]

We get:

\[ \text{Fourth Root} \approx 2.00 \]

So, the fourth root of 16 is approximately 2.00.

Extended information about "Fourth-Root-Calculator"

Fourth Root Calculation

Definition: The fourth root of a number is a value that, when multiplied by itself four times, gives the original number.

Formula: \( \sqrt[4]{x} = x^{\frac{1}{4}} \)

Example: \( \sqrt[4]{16} = 16^{\frac{1}{4}} \)

Complex Fourth Roots

Definition: The complex fourth roots of a number include all possible values that, when raised to the fourth power, yield the original number.

Formula: \( \sqrt[4]{z} = \sqrt[4]{r} \left( \cos \frac{\theta + 2k\pi}{4} + i \sin \frac{\theta + 2k\pi}{4} \right) \)

Example: \( \sqrt[4]{1} = 1 \left( \cos \frac{0 + 2k\pi}{4} + i \sin \frac{0 + 2k\pi}{4} \right) \)