1. What is the 4th Root?

The 4th root of a number y is a value that, when multiplied by itself four times, equals y. It's equivalent to raising y to the power of 1/4.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( x \) — The 4th root (unitless)
• \( y \) — The input number (unitless)

Explanation: The calculation is performed using exponentiation with 1/4 as the exponent.

3. Applications of 4th Root

Details: The 4th root is used in various mathematical and engineering applications, including calculations involving quartic equations, signal processing, and dimensional analysis.

4. Using the Calculator

Tips: Enter any non-negative number to calculate its 4th root. The result will be displayed with 6 decimal places for precision.

5. Frequently Asked Questions (FAQ)

Q1: Can I calculate 4th roots of negative numbers?
A: In real numbers, even roots (like 4th root) of negative numbers are undefined. The calculator only accepts non-negative inputs.

Q2: How is this different from square root?
A: Square root is the 2nd root (n=2), while this calculates the 4th root (n=4). The 4th root is the square root of the square root.

Q3: What's the 4th root of 0?
A: The 4th root of 0 is 0, since 0 × 0 × 0 × 0 = 0.

Q4: What's the 4th root of 1?
A: The 4th root of 1 is 1, since 1 × 1 × 1 × 1 = 1.

Q5: How precise is the calculation?
A: The calculator provides results with 6 decimal places, suitable for most practical applications.