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.