Adding Square Roots Calculator

The implementation of mathematical operations on square roots is not as simple as it is to do on integers. It is because a value written in square roots has a particular power that makes it different from other integers or numbers. If you also find it hard to implement basic Mathematical operations like an addition on square roots, the best way is to use adding square roots calculator.

This maths calculator is programmed to add such numbers only. You can get the result of the addition of square roots within a few seconds. It doesn’t ask you to perform it manually or follow different steps. You only need to insert the data you have and get an accurate answer from it. Eager to learn about square roots and this calculator works? Let’s read it here!

Square Root Definition

In Mathematics, square root means those roots of a number that give the original number when multiplied. It is the reverse process of finding the square of a specific number. A square root of any number or value is written by putting a Radical sign(√) or “1/2” as its power.


It is not compulsory to have “2” in the denominator when we discuss standard radicals. But the name of the root won’t be a square root if there is another number in the denominator. There are two terms related to square root that is mentioned below.

  • Radical: The sign that represents the square root is called a radical.
  • Radicand: The number or value that comes under the sign of radical is called the radicand.

For example, if 5 is shown in the square root form, i.e. √5. The symbol (√) written just before the 5 is the radical while 5 will be called a radicand.

How to add Square root numbers?

We all know that the terms, numbers, or expressions will be added only if the base and exponent are the same. In terms of square root, the terms will be added only if the number inside the radical sign (Radicand) for the added terms is the same. We can’t add the numbers if the radicand or the denominator of the radical is different.

To add the square roots with the same radicand, we only have to add their coefficients given on the left side of the expression. If the numbers given as radicand are not the same, we need to simplify them, if possible. Here are some short steps to follow for adding square roots.

  • Write the terms to be added
  • Simplify the radicand by prime factorization if possible
  • Add the coefficients of the radical terms if their radicands are the same now

Adding Square Root Example

Let us show you how to add square roots here for better understanding.

Example 1:

Add 12 √12 and 2√3.


As we can see that the radicand for the first radical term can be simplified. So, we will do it through prime factorization.

               √12 =√ 2 x 2 x 3

After taking the square root, the term will be,

              √12 = 2 √3

So, the first term given in the question will become,

             = 12 x 2 √3 + 2 √3
             = 24 √3 + 2 √3

Now, the radicand for both terms is the same. So, we can add their coefficients,

             = 26 √3 

How to use adding square roots calculator?

To add square roots quickly, you can use this calculator by Calculator’s Bag by following these steps.

The steps to use the adding square roots calculator are as follows:

Step 1: Enter the number in the first required input.

Step 2: Enter the number in the second required input.

Step 3: The calculator will automatically display an answer on the screen.

FAQ | Adding Square Roots Calculator

How do you add two square roots?

To add two square roots, the number given in their radicands must be the same. If it is not the same, we can’t add two square roots.

Can you combine square roots with addition?

Yes, we can combine two square roots by adding them if their radicands/base numbers are the same.

How do you add square roots with different denominators?

We can’t add two square roots with different denominators. Two square roots are only added if their denominators are the same.