# 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!

**Table of Contents**

## 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.

**Solution:**

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.