Does this number have an expression as square root or log of something If this ends up being a ridiculous question I will delete it.  Forgive me if this is ridiculous but this number has me stumped.
$$1.52360679774998$$
The continued fraction calculator gives $1, 1, 1, 10, 11, 11, 11, 11, 11, 11 ...$ which makes me think this number should have a nice expression as a root or log of something or be related to some special number like $\phi$.  But I've been unable to tease out any such expression.  I appreciate it if someone has more insight into this.

Answer: $$\frac{13+\sqrt{5}}{10} \approx 1.52360679774997896964091736687...$$
(I got the result using the Inverse Symbolic Calculator: http://isc.carma.newcastle.edu.au )
