Since nobody knows if
Sqrt(5)+Sqrt(22+Sqrt(20))
is equal or not eqaual to
Sqrt(11+Sqrt(116))+Sqrt(16-Sqrt(116)+2*Sqrt(55-5*Sqrt(116)))
this appeal to our modesty is in order.
I have read this in the Scientific American 40 years ago, but I forgot what exact expressions where there. Thanks to Google I have re-discovered them. And that there was no resolution in meantime as well.
protokol2020 