Surds Calculator

Updated on February 25, 2024

What is a Surds Calculator?

A surds calculator is a tool used to simplify and perform mathematical operations involving square roots and other radical expressions. Surds are expressions that contain square roots or other roots of numbers that cannot be simplified into rational numbers. This tool is helpful for students, teachers, and anyone who needs to work with surds in their math problems.

How Does a Surds Calculator Work?

A surds calculator works by taking an input of a surd expression and then simplifying it into its simplest form. It can add, subtract, multiply, and divide surds, as well as perform other operations such as exponentiation and rationalization. The calculator follows the rules of surds manipulation to provide accurate results for any given surd expression.

Surds Calculator


Benefits of Using a Surds Calculator

There are several benefits to using a surds calculator. One of the main benefits is that it can save time and effort by quickly simplifying surd expressions that would be time-consuming to do by hand. It also helps to prevent errors in calculations that can easily occur when working with surds manually. Additionally, a surds calculator can provide step-by-step solutions, making it a useful learning tool for students who want to understand how to simplify and manipulate surds.

Examples of Using a Surds Calculator

Let’s look at some examples of how a surds calculator can be used:

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Example 1: Adding Surds

If we want to add √2 + √3, the surds calculator will simplify it to √2 + √3 since these two surds are not like terms and cannot be combined further.

Example 2: Multiplying Surds

When multiplying two surds, such as √5 * √10, the calculator will simplify it to √50 because the square root of 5 times the square root of 10 equals the square root of 50.

Example 3: Dividing Surds

For dividing surds, like √18 / √6, the calculator will simplify it to √3 because the square root of 18 divided by the square root of 6 equals the square root of 3.

How to Use a Surds Calculator

Using a surds calculator is simple and straightforward. All you need to do is enter the surd expression you want to simplify or manipulate into the calculator, and it will provide you with the result. Some surds calculators also offer additional features such as showing the steps involved in the simplification process or providing a graph of the surd expression.


A surds calculator is a handy tool for anyone working with surds in their math problems. It simplifies and performs operations on surd expressions quickly and accurately, saving time and effort. Whether you’re a student learning about surds or a professional using surds in your work, a surds calculator can make your math tasks easier and more efficient.