Surds and Its Type


 
 
Concept Explanation
 

Surds And Its Type

Surds

If n is a positive integer and 'a' is a positive rational number (a > 0), then sqrt[n]{a}  is called a surd of order n or nth order surd, if sqrt[n]{a}  is an irrational number.

         e.g., 3sqrt{5}, 4sqrt{7}, 2+sqrt{7,} 2-sqrt{7},sqrt{3}+sqrt{5},sqrt{3}-sqrt{5}

Types of Surds

Surds are dividing into four types.

1. Simple Surd:

A surd which consists of a single term is called s 'simple surd' or monomial surd'.

                     e.g.,       sqrt{3}, 4sqrt{3}, nsqrt{a}

2. Mixed Surd

If a is a rational number and sqrt{b} is a surd, then a+sqrt{b}, a- sqrt{b}  are called 'mixed surds'.

      e.g.,                    2+sqrt{3},     2- sqrt{3}

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