Fourth Root Calculator

Using our fourth root calculator is very simple:

1. Enter the number a for which you need the fourth root.

2. To find the fourth root of a, let the n parameter be equal to 4. Suppose you want to find a different root. Then input that value in the n parameter.

3. The tool will instantly calculate the fourth root for you and give you the result.

For example, if you want to find the fourth root of 512, enter 512 in a, and let n be equal to 4. Instantly, you will get the result as 4.757.

To find the 3^rd root of 512, enter 512 in a and change n from 4 to 3. Right away, the calculator will tell you that the third root of 512 is 8.

The following article will help you understand the math behind this calculator.

To understand roots, let us first recall what exponent operation does — it raises a number to a given exponent (or power) , meaning that the number will be multiplied by itself times. We represent this operation as:

For instance, 3 raised to the power 4 is:

The root operation functions as an inverse of the exponent operation — it finds the number that must be raised to the given power to produce the given number .

The fourth root of a number is the number that must be raised to the fourth power to produce .

In our earlier example, 3 is the fourth root of 81.

Let's break down the 4th root calculation with an example problem - find the fourth root of 20736.

1. Prime factorize the number 20736. Our prime factorization calculator can help you with this step.

2. Now, group these prime factors by sets of 4.

3. Apply the fourth root to the number in the prime factor form:

Not all numbers' fourth root can be integers, of course! Calculating them can be a pain. But that's where our fourth root calculator can help you!😉 So what are you waiting for? Go and find some roots with our calculator!

We have a couple of other root calculators for you:

• Root calculator; and
• Fifth root calculator.