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. Worksheet on Irrational Numbers | Problems on Rationalization of Denominator

    Apr 26, 17 05:04 PM

    From previous topics of irrational numbers it has become clear that rationalization of denominator is one of the most important steps done while doing calculations

    Read More

  2. Problems on Rationalizing the Denominator | Rationalization of Denominator

    Apr 19, 17 05:21 PM

    In the previous topics of rational numbers we have learnt to solve the problems regarding the fractional numbers, i.e., the numbers that have real numbers in their denominators. But we haven’t seen

    Read More

  3. Problems on Irrational Numbers | Concepts Regarding Irrational Numbers

    Apr 12, 17 05:01 PM

    Till here we have learnt many concepts regarding irrational numbers. Under this topic we will be solving some problems related to irrational numbers. It will contain problems

    Read More

  4. Comparison between Rational and Irrational Numbers | Solved Examples

    Apr 09, 17 05:49 PM

    Rational numbers are those which can be written in ‘p/q’ form where ‘p’ and ‘q’ belong to integers and ‘q’ is not equal to zero. The decimal numbers which are terminating and non- repeating

    Read More

11 and 12 Grade Math

From Simple and Compound Surds to HOME PAGE

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.