Solution - Simplifying square roots

Simplify :  sqrt(361) 

Factor 361 into its prime factors
           361 = 19² 

To simplify a square root, we extract factors which are squares, i.e., factors that are raised to an even exponent.

Factors which will be extracted are :
           361 = 19² 

No factors remain inside the root !!

To complete the simplification we take the squre root of the factors which are to be extracted. We do this by dividing their exponents by 2 :
           19 = 19 

The simplified SQRT looks like this:
         19  

Simplified Root :