Working with radicals can be confusing sometimes but if we are familiar with the rules of radicals it may be a fun..! The word "radical" comes from a Latin word  "radix" which means root. There is a close relationship between exponents and radicals. We can roughly say that reciprocal of an exponent is radical.. Consider the following image please.............

 

 

An overview of Radical and Exponents

√  is a sign of radical

 

List of some Important Rules of Radicals

 

Expressions involving radicals are solve with the help of some basic rules. Other implied rules can be derived from them.

Basic Rules of Radicals

 

 

 

 

Application of Rules of Radicals

 

Complex radical expression can be simplified using the provided rules of radicles. Few examples :---------

Example involving radical simplification

Nested Radicals