# Simple and Compound Surds

We will discuss about the simple and compound surds.

Definition of Simple Surd:

A surd having a single term only is called a monomial or simple surd.

For example, each of the surds √2, ∛7, ∜6, 7√3, 2√a, 5∛3, m∛n, 5 ∙ 7^$$^{3/5}$$ etc. is a simple surd.

Definition of Compound Surd:

The algebraic sum of two or more simple surds or the algebraic sum of a rational number and simple surds is called a compound scud.

For example, each of the surds (√5 + √7), (√5 - √7), (5√8 - ∛7), (∜6 + 9), (∛7 + ∜6), (x∛y - b)  is a compound surd.

Note: The compound surd is also known as binomial surd. That is, the algebraic sum of two surds or a surd and a rational number is called a binomial surd.

For example, each of the surds (√5 + 2), (5 - ∜6), (√2 + ∛7) etc. is a binomial surd.

## Recent Articles

1. ### Definition of Irrational Numbers | What are Irrational Numbers? | Examples

Mar 23, 17 03:40 PM

Different types of numbers in mathematics constitute number system. Some of them are whole numbers, real numbers, rational number, irrational numbers, integers, etc. In this topic, we will get to know

Mar 23, 17 05:17 AM

9th grade math lessons are planned and introduce in different activities. 9th grade math help is provided for the 9th grade students in all segments to cover all the math lesson plans which

3. ### Worksheet on Representation of Rational Numbers on the Number Line | Answers

Mar 23, 17 03:01 AM

Following points must be kept in the mind to represent the rational numbers on the number line: 1. The numbers on the right side of any number on the number line is greater than that on the left.

4. ### Cost Price, Selling Price and Rates of Profit and Loss | Profit and Loss Percent

Mar 12, 17 05:56 PM

We all go to shopping malls, markets, grocery shops and other shops to buy clothings, vegetables, grocery objects, etc. All of these objects have some maximum price mentioned on them