Question

Write the Law of Surds

Answer 1

Answer:

Surds are numbers left in root form (√) to express its exact value. It has an infinite number of non-recurring decimals. Therefore, surds are irrational numbers. There are certain rules that we follow to simplify an expression involving surds.

Answer 2

The method of convening a given surd into a rational number on multiplication by another suitable surd is called rationalization of surds. In this case the multiplying surd is called the rationalizing factor of the given surd and conversely.

To express in the simplest form, denominator must be rationalized.

Every rational number is not a surd.
 Every irrational number is a surd.

A root of a positive real quantity is called a surd if its value cannot he exactly determined.