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. Theorems on Locus of a Point which is Equidistant from Two Fixed Points

    Jan 16, 17 04:17 AM

    The locus of a point which is equidistance from two fixed points is the perpendicular bisector of the line segment joining the two fixed points.

    Read More

  2. Quadrilaterals | Four Sided Polygon | Closed Figure | Adjoining Figure

    Jan 13, 17 02:36 PM

    Quadrilaterals are known as four sided polygon.What is a quadrilateral? A closed figure made of our line segments is called a quadrilateral. For example:

    Read More

  3. Elements of a Quadrilateral | Parts of a Quadrilateral | Two Diagonals

    Jan 13, 17 02:04 PM

    Parts or elements of a quadrilateral are discussed here. ABCD is a quadrilateral with four sides namely AB, BC, CD and DA. It has four vertices namely A, B, C and D.

    Read More

  4. Division of Decimal Fractions by Multiples | Different Types of Examples

    Jan 13, 17 01:31 PM

    Division of decimal fractions by multiples of 10, 100, 1000 etc., are discussed here with different types of examples. 1. 245.1 ÷ 30 Solution: 245.1 ÷ 30 = 245.1/30

    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.