Simplifying a product of square roots



Hi all,

I'd like maxima to simplify an expression like this:

sqrt(2 - sqrt(2)) * sqrt(2 + sqrt(2)) / sqrt(2)

to 1.  I tried to find some hints on the internet, but all I came up 
with seems not to work in my case:

sqrtdenest(%), scanmap(sqrtdenest, %), scanmap(factor, %)
all do not alter the expression in any way.

Is it possible to get this kind of simplification?  (Later on I may want 
to have it done on similar expressions involving variables, but for now 
I'd just be happy to get this basic one done and try with that further.)

Thanks a lot!

Daniel

-- 
Done:  Arc-Bar-Cav-Ran-Rog-Sam-Tou-Val-Wiz
To go: Hea-Kni-Mon-Pri