Search 75,598 tutors
FIND TUTORS
Ask a question
0 0

how do i similify a nonperfect radical expression?

Tutors, please sign in to answer this question.

2 Answers

You first write down the radiant ( the number under radical ) as product of its prime facors.
 
  Fundamental law of Arithmetic says that : Every Composite number consists of product of its prime factors:
 
 
      4 = 2. 2 = 22
 
      6 = 2 . 3 
   
       8 = 2.2 2 = 8
 
      10 = 2 . 5
 
      12 = 2 . 2 .3 = 22 . 3
   
       14  = 2 . 7
 
      16  = 2 4    
      
      18 = 2  . 32
  
      20   =  22 . 5 
 
      We can multiply and divide the radicals, where the product and quotient to be a radical with product and quotient to be the product and quotient of the radicants  of radicants .
 
 
     √a . √b  = √(ab)  ,         √a / √b = √(a/b) .
 
 
     To simplify:   √(a2b ) = √a2 . √b = a √b
 
          So To Simplify:
 
            √12  = √( 22. 3 = 2 √3
 
             √18 = √( 2 . 32) = 3√2
 
            √(20) = √( 22 . 5 ) = 2 √5
            
            √24 = √(22 . 6 ) = 2 √6
     
            √28 = √22 .7 = 2 √7