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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 8,834 of 10,432   
   IV to All   
   Re: General method for solving radical e   
   26 Jul 15 15:58:45   
   
   XPost: sci.math   
   From: ivgroups@onlinehome.de   
      
   "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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