Understand Multiplying Radicals

Introduction: 
                   A radical is an expression that expresses the square roots, cube roots etc. Radical is the word that comes from the Latin word Radix. The meaning of the radical is ROOT. The word radical was used to refer to an irrational number. The radical symbol was introduced by John Bell in 1668. Radical form having the same properties as the properties of the numbers. When we use the radical without a sign or index number, it mentions the positive square root of the radicand.

Learn Rules for Multiplying Radical:

                 The following rule can be used in multiplying radicals:
`root(n)(a)` . `root(n)(b)` = `root(n)(ab)`
The most important thing when we multiply radicals is, both radical must have the common index.
For example,
`root(2)(8)` . `root(2)(4)` = `root(n)(32)`
           
Simplification:
               After we multiply radicals we need to make sure that the radical we end up with is simplified. Sometimes we can simplify before we multiply. We never have to simplify before we multiply but we must simplify after we multiply radicals (if possible)
For example,
               `sqrt(2)` . `sqrt(8)` = `sqrt(16)`
                               = `sqrt(4^2)`
                               =  4                              
                `sqrt(2)` . `sqrt(8)` 

Hope you liked the above explanation. Please leave your comments, if you have any doubts.