Fifth Root Calculator

Finding the roots of a number isn’t easy because we have to divide the number by prime numbers. The process becomes more complicated when it comes to finding the fifth root of any given number. It is difficult for a student to divide the given number with a prime number multiple times to find this root.

A minor mistake can change the final answer to the question which will lead the students to failure. To avoid such problems, the best approach is to use the fifth root calculator. This online maths calculator has been designed with a particular algorithm to find this term without mistakes. Want to learn more about the fifth root calculator and the method to find it manually? We are going to show you here in detail.

What is the fifth root?

It is a specific number that can divide another particular number 5 times simultaneously. In simple words, if a number is multiplied 5 times with itself to find a new number, the multiplied number will be the fifth root of the new number.

For example, the fifth root of 243 is 3 because it comes when 3 is multiplied 5 times by itself. Similarly, if a number is completely divisible by a number while dividing 5 times, that number will be its fifth root.

5th root formula

There is no specific formula to follow for finding the fifth root of a given number. The simplest approach is to divide the given number by prime numbers. If the prime numbers come in the set of 5 to divide the given number completely, that number will be the fifth root.

Here is the representation of the fifth root of any number:

Fifth Root = 5√x


In the above expression,

• Number “5” shows the fifth root
• “x” represents the given number
• “√” is the general symbol that is used to represent the root of any number

How to find the fifth root?

To find the fifth root of a given number, we only have to divide the given number by prime numbers. Let us share an example here to let you know how to find the fifth root using a manual approach.

Example 1:

Find the fifth root of 1024.

Solution:

As we know, we need to divide the given number by its prime number.

5√1024 = 5√2 ✖ 2 ✖ 2 ✖ 2 ✖ 2 ✖ 2 ✖ 2 ✖ 2 ✖ 2 ✖ 2


The above factors are formed when 1024 is divided by 2 (Prime Number). We can write the above factors in exponential form as given below:

5√1024 = 5√210


By solving the right side of the above relation,

= 22


= 4

It means that the fifth root of 1024 is 4. By using the same steps, you can find the fifth root of any number or use this fifth root calculator if you are not proficient in the division.

5th root table

Original Number Fifth Root
1 1
2 1.1487
5 1.3798
10 1.5849
20 1.8206
50 2.1867
100 2.5119

How to use the fifth root calculator?

If you have numbers that are not divisible completely, you may have to find the fifth root in decimal form. In this regard, you can use this tool by Calculator’s Bag. Here are the steps you have to follow in this regard.

Step 1: Enter the number in the required input.

Step 2: The calculator will automatically display an answer on the screen.

FAQ | Fifth Root Calculator Calculator

Can √5 be simplified?

Yes, √5 can be simplified but the result will be in decimal form instead of a whole number.

What is the fifth root of 100?

The fifth root of 100 is 2.5119 as this number can’t be divided by the same whole number five times.

In complex numbers, why do all the fifth roots of unity sum to 0?

The sum of all roots of a complex number will give 0 when added because the consecutive sequence comes out. We can understand the sequence by using Vieta’s Formula.

Is there any trick to calculate the fifth root of a number quickly?

Yes, you can use this online fifth root calculator to quickly find the fifth root of any number.

What is the fifth root of 32?

The fifth root of 32 is 2 because it comes out when 2 is multiplied by itself 5 times.