This is a special decimal called the golden ratio.
Anyway, \(\frac{1+\sqrt{5}}{2}\approx1.6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374847540880753...\)
\(\frac{1+\sqrt{5}}{2}\)
\(\frac{1}{2}+\frac{\sqrt{5}}{2}\)
\(0.5+\frac{\sqrt{5}}{2}\)
\(0.5+\frac{2.2360679774997896964091736687...}{2}\)
\(0.5+1.1180339887498948482045868343...\)
\(1.618034...\)
.