Square Root Calculator

Calculate the square root of any number you want with our square root calculator tool. Simply enter the number you want to find the square root of then hit calculate and get your answer in less than a second.

Number:

Square Root:

What it is

What is Square Root?

Create Date: August 20, 2024

Last Modified Date: December 5, 2024

Square root is a function in math that finds the number that can be multiplied by itself to get the number in the equation. For example, if you have the equation √64, you will get 8. This is because 8 times itself, 8, is 64.

How is Square Root Calculated?

Square root can be calculated by hand but is often not. Many of the numbers are easy to remember the square root of and it is typically simple to solve for if the number is small enough. However, there is no single way to solve for the square root of a number. The only constant is the format at which a square root problem looks like, which is this:

An image of the formula used to calculate the square root of a number.
Where:
  • X = Number you want to find the square root of

Understanding Your Results

Your result will be a single number. This number, when multiplied by itself, will equal the number that you entered into the lone field of this tool. There are instances of numbers that have no square root and can not be processed, zero being one of them.

How to Use the Square Root Tool

Finding the square root of a number can easily be done with this tool. The steps required include:

  1. Enter the number you want to find the square root of.

  2. Hit calculate and get the square root.

Calculation Example

We have a set of numbers that we want to find the square root of. They are 6, 10, 81, 1,505, and -9. We will start with 6 by entering it into the lone field here and hit calculate to get a square root of 2.44949. Next, we will do 10. When we hit calculate we get a square root of 3.16228. Now we will do 81, when we hit calculate we get a square root of 9. Now we can try 1,505 which gives us an answer of 38.79433. Finally, we will do -9. That is not a viable number as numbers need to be greater than 0 to be used with this tool.

Square Root - Frequently Asked Questions

Yes, you can find the square root of some numbers easily without a calculator. Some numbers, mainly those that produce a decimal point answer, will not be easy to calculate by hand. Here's a brief explanation of how to manually find the square root:

  1. Obtain the prime factorization of the given natural number.
  2. Make pairs of identical factors.
  3. Take one factor from each pair and find their product. The product obtained is the square root of the given number.

You cannot get the square root of a negative number or of zero.

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