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Question: Simplification of radicals

Question:Simplification of radicals

Kitonum 20474
simplification
January 04 2015
3

The expression  expr  the command  simplify  simplifies without any problems. Even certain automatic simplification is produced:

expr:=sqrt(4-sqrt(7))*sqrt(4+sqrt(7));

simplify(expr);

 

 

But if we slightly modify the expression, the simplification is not performed:

expr1:=sqrt(4-sqrt(6))*sqrt(4+sqrt(6));

simplify(expr1);

 

 

The last expression  expr1  succeed to simplify the only combination of commands:

expand(combine(expr1));

                     

 

What is the reason for this strange behavior of  simplify?
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