[Maxima] How to simplify ((2+sqrt(3))/(sqrt(2)+sqrt(2+sqrt(3))) + (2-sqrt(3))/(sqrt(2)-sqrt(2-sqrt(3))))^2 to 2?
Tue Nov 14 15:47:47 CST 2006
> Now we know maxima can do it ... but the user have to deal with
> 1/ know to load that precise module. How can they find it ?
> 2/ know how to ask maxima to use it as the expression
> > (%i3) ratsimp(scanmap(sqrtdenest, ratsimp(%)));
> does not appear as a simple one to me.
> How could I (and my student) have come to this ?
Well I overcomplicated it. It can be done simpler with
(%i2) ((2+sqrt(3))/(sqrt(2)+sqrt(2+sqrt(3))) +
So all you need to know is that the problem in the expression are
nested roots and that maxima has a function for dealing with them in
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