I was playing around with numbers when I noticed that √e was

~~very~~somewhat close to ϕ

And so, I took it upon myself to try to find a way to express the golden ratio in terms of the infamous values, π and e

The closest that I’ve come so far is:

φ≈√e−π(e+π)e−√eMy question is,

Is there a better_{(more precise and accurate)}way of expressing ϕ in terms of e and π ?

**Answer**

The following is *exact*. 🙂

ϕ=ππ+√e+e+e+e+eeee+ππ

**Attribution***Source : Link , Question Author : Nick , Answer Author : vadim123*