XPost: sci.math   
   From: fateman@cs.berkeley.edu   
      
   You will have to define your terms.  "radical equation".   
   "solve".   
   "solve symbolically".   
      
   A college course in abstract algebra   or "modern algebra"   
   (this is not high school algebra)   
   might answer all your questions.   
      
   Without such a background it may be difficult to explain   
   the answer to you.   
      
   On 7/26/2015 6:58 AM, IV wrote:   
   > "IV" wrote in news:mp10dk$lk4$1@news.albasani.net...   
   >>> Is there a general method to solve radical equations with   
   >>> more than two radicals symbolically?   
   > I am interested in answering the question which general kinds of   
   > equations are solvable symbolically.   
   > The partial question of this thread is: Which general kinds of radical   
   > equations (with no nested radicals) are solvable symbolically?   
   >   
   > With Google, I found only statements for small simple radical equations.   
   > I found, the suggested method of isolating a radical and exponentiating   
   > the equation seems to work in general only if the equation has only   
   > radicals with one of not more than two different indices.   
   > Are there other rules for radical equations?   
   >   
   > Computer algebra systems have algorithms for deciding of a given   
   > equation is solvable symbolically or not. But I want a non-algorithmic   
   > answer.   
   >   
   >   
      
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