Question

WHAT IS A SURD ? Explain it's types based on order​

Answer 1

Surd is an irrational root of an integer. Ex : √2, √3.

The following are the various types of surds:-

1) \text{Simple Surds}Simple Surds: Surds which consists of only one term is called a surd. For example, 5\sqrt{5}5

5

, \sqrt{7}

7

, etc.

2) \text{Similar Surds}Similar Surds: If the surds having the same common surds factor, or in other words, they are different multiples of the same surd, then they are called similar surds.

3) \text{Pure Surds}Pure Surds: Surds which are wholly irrational are called pure surds. Eg:- \sqrt{3}

3

.

4) \text{Mixed Surds}Mixed Surds: Surds which are not wholly irrational and can be expressed as a product of a rational number and an irrational number is called mixed surd.

5) \text{Binomial Surds}Binomial Surds: A surd which is made of two other surds is called binomial surd.

6) \text{Compound Surds}Compound Surds: An expression which is the addition or subtraction of two or more surds is called compound surd.