From: maple@rogers.com   
      
   On Saturday, October 5, 2019 at 11:58:59 AM UTC-4, clicl...@freenet.de wrote:   
   > Hello everybody,   
   >   
   > can your favorite CAS simplify this sum of nested roots   
   >   
   > 5*SQRT(88*2^(2/3) - 145*2^(1/3) + 43)   
   >  + SQRT(97*2^(2/3) - 62*2^(1/3) - 74)   
   >  - 2*SQRT(- 31*2^(2/3) - 37*2^(1/3) + 97)   
   >  - 4*SQRT(6*2^(2/3) + 2*2^(1/3) - 12)   
   >  + 8*SQRT(2^(2/3) - 6*2^(1/3) + 6)   
   >  - 3*SQRT(- 3*2^(2/3) + 3*2^(1/3) + 1)   
   >  - 2*SQRT(- 2*2^(2/3) + 2*2^(1/3) + 4)   
   >  + 6*SQRT(2^(2/3) + 2*2^(1/3) - 2)   
   >   
   > substantially?   
   >   
   > Martin.   
   >   
   > PS: Yes, I know a simple result.   
      
      
   Using Maple 2019.1,   
      
   ee:=5*sqrt(88*2^(2/3) - 145*2^(1/3) + 43)   
    + sqrt(97*2^(2/3) - 62*2^(1/3) - 74)   
    - 2*sqrt(- 31*2^(2/3) - 37*2^(1/3) + 97)   
    - 4*sqrt(6*2^(2/3) + 2*2^(1/3) - 12)   
    + 8*sqrt(2^(2/3) - 6*2^(1/3) + 6)   
    - 3*sqrt(- 3*2^(2/3) + 3*2^(1/3) + 1)   
    - 2*sqrt(- 2*2^(2/3) + 2*2^(1/3) + 4)   
    + 6*sqrt(2^(2/3) + 2*2^(1/3) - 2):   
      
   sqrt(evala(ee^2));   
      
         4*(1+2^(2/3)-2^(1/3))^(1/2)   
      
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