Maxima Help: Square root in square root



(sorry if I broke etiquette)


? ? ? ? How do I simplify:

? ? ? ? 1 ? Factor ? ? ? ? ? ? ? ? ? ? ? ? (sqrt(2)+2)/(sqrt(2)+1) --> ?sqrt(2)? ? ? ? 2 ? Square root in square root ? sqrt(4-2*sqrt(3)) --> ?sqrt(3)-1

? ? ? ? ? ?In a help file ?_Maxima and Calculus_ ? I found that 1?can be simplified by trigrat(). but in 2 trigrat() doesn't work.? ? ? ? ? How do I simplify 2?
Thanks. ???- Henry