Fourth Root Calculator
Finding the roots of a number may not be difficult when you are asked to find the square root or second root of that number. The process becomes difficult when you are dealing with questions to find the extended roots like the fourth root. It is because you have to divide the given number by the same number four times.
If you are struggling to find this root for any number, you should use this fourth root calculator. It is a specific online maths calculator that has been designed for this calculation only. You can find the fourth root of any number without consideration of being larger or smaller. Keep reading to explore what this root is and how our calculator can help you in finding the fourth root.
Table of Contents
What is the fourth root?
If a number is divided by the same number four times to get “0” as the remainder, then the divisor will be called the fourth root of the given number. In other words, if a number is multiplied four times by itself, that number will be called the fourth root of the resultant number.
For example, “2” is the fourth root of “16” because it comes out when “2” is multiplied four times by itself. Similarly, we can find the fourth root of any number through the division process. Don’t you know how it all processes? Keep reading because we will share the calculation process in detail here.
What is the formula of the fourth root?
There is no specific formula to find the fourth root of a specific number. The only task you have to do is to divide the given number by the same number four times. We can generally represent the fourth root formula as:
= 4√x
Here, “4” represents the fourth root of the number “x”.
How to find the 4th root of a number?
As mentioned, finding the fourth root is not difficult if you know how to divide the number. But we have solved an example here for your better understanding.
Example 1:
Find the fourth root of 216.
Solution:
We have to divide the given number by prime factors. Here is the multiplication pattern we have got for “216”.
4√216 = 4√2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
By solving this fourth root, we got the following answer.
= 2 x 2
= 4
So, “4” is the fourth root of “216”.
Fourth Root Table
| Original Number | Fourth Root |
| 1 | 1 |
| 2 | |
| 5 | 1.19 |
| 10 | 1.78 |
| 20 | 2.11 |
| 50 | 2.66 |
| 100 | 3.16 |
| 200 | 3.76 |
| 500 | 4.73 |
How to use the fourth root calculator?
Calculator’s Bag has designed this fourth root calculator with a simple and user-friendly interface. You can easily use it by following these steps.
- Enter the number in the first input box
- This calculator will automatically show you the fourth root of that number
FAQ | Fourth Root Calculator
What is the Square Root of the 4th?
The square root will be double the 4th root of the same number.
How accurate are the calculations performed by a fourth root calculator?
This fourth root calculator finds the fourth root of the number with 100% accuracy.
Are there any limitations to the values that can be inputted into a fourth root calculator?
No, you can add any number in this fourth root calculator to get the final answer.
What is 4th root called?
The fourth root is the number that comes when a number is divided by the same number four times.
Is 4th root a function?
Yes, 4th root is a function that belongs to only positive numbers.
What is the fourth root rule?
The rule to find the fourth root is dividing the number by the smallest prime numbers and then making groups of four.
Can a fourth root be negative?
No, the fourth root can’t be negative.
