A Simple Equation, but a Complicated Solution

[Thecla]

In Julian Havil's book " The Irrationals a Story of the Numbers You Can't Count On" he discusses solutions to a simple fifth degree equation on page 133:
$x^5-5x+12=0$
"the only real solution [of this equation is] the irrational number:
$x=-1.84208596619025438271118...$

This number requires about 600 symbols for its exact expression in radicals."
I looked all over the internet to find this irrational number expressed as 600 symbols , but I was unable to find it. Any help out there?

 

[micromass]

https://www.gap-system.org/Manuals/pkg/radiroot/htm/CHAP001.htm

 

[fresh_42]

In Julian Havil's book " The Irrationals a Story of the Numbers You Can't Count On" he discusses solutions to a simple fifth degree equation on page 133:
$x^5-5x+12=0$
"the only real solution [of this equation is] the irrational number:
$x=-1.84208596619025438271118...$

This number requires about 600 symbols for its exact expression in radicals."
I looked all over the internet to find this irrational number expressed as 600 symbols , but I was unable to find it. Any help out there?

Got it! Unfortunately my Japanese has suffered a little ...
(see also https://en.wikipedia.org/wiki/Bring_radical)