The surds play an important role to study many areas of Mathematics; for example, solving algebraic equations, simplifying radical expressions, etc. In this article, we will learn the properties of surds or radicals. Radicals as Exponents A radical of index n is written with the exponent 1/n. For example, Index Expression as a Radical n … Read more

Rationalisation of surds | Rationalising surds

Rationalize the Denominator. Note that a surd is an irrational number. In this section, we will learn how to rationalize a surd, that is, the process of making a surd into a rational number. Definition of Rationalisation of surds The process of converting a surd into a rational number is called the rationalisation of surds. … Read more

Division of surds | How to divide surds

In this section, we will discuss how to divide surds. For more details of surds, please visit the page an introduction to surds. How to Divide Surds The division of surds is one of the fundamental operations on surds. To divide one surd by another surd, we need to go through the following steps. Step … Read more

Multiplication of surds | How to multiply surds

In this section, we will learn how to multiply two or more surds. This is a topic on multiplication of surds grade 11, 12. For the basics of surds, please visit our page an introduction to surds. How to Multiply Surds The multiplication of surds is one of the basic operations on surds. We need … Read more

In this section, we will learn how to find the sum (or difference) of two or more surds. How to add or subtract two or more surds The addition and subtraction of surds are the basic two operations on surds. The below steps need to be checked while adding two or more surds. Step 1: … Read more

Conjugate Surds: Definition, Examples, Properties

In this section, we will discuss about conjugate surds. For the basics of surds, please visit the page an introduction to surds. Definition of Conjugate Surds Mathematically, if x=a+√b where a and b are rational numbers but √b is an irrational number, then a-√b is called the conjugate of x. Thus we can define conjugate … Read more

Similar Surds and Dissimilar Surds | Like and Unlike Surds

We have learned about surds, different types of surds, rules of surds, etc on the page an introduction to surd. In this section, we will focus on what are the similar or like surds and what are the dissimilar or unlike surds. Definition of Similar Surds: Two or more surds are called similar surds if … Read more

Pure Surds and Mixed Surds: Definition Examples Conversion

In this section, we will learn about pure surds as well as mixed surds. Definition of Pure Surd A surd is called a pure surd if it consists of a whole rational number under the root symbol. For example, $\sqrt{2}$ is a pure surd but $7\sqrt{2}$ is not. Examples of Pure Surd: (i) $\sqrt{11}, \sqrt{18}$ … Read more

Simple Surds and Compound Surds: Definition, Examples

The simple surds and the compound surds are two different types of surds. Here we will learn about them. Definition of Simple Surd A surd is called a simple surd if it contains only one term. More precisely, this type of surd is produced with only one root symbol. A simple surd is also known … Read more

Order of a Surd | Order of surds

Order of surds. Here we will learn about the order of a surd and its related terminologies. Some solved problems on the orders of surds are given at the end. Definition of the order of a surd: The index of the root involved in a surd is called the order of that surd. Let us … Read more