\begin{definition}[Definition:Continued Square Root]
A '''continued square root''' is an expression of the form:
:$a_0 + \sqrt {a_1 + \sqrt {a_2 + \sqrt {a_3 + \sqrt {\cdots} } } }$
where $\left\langle{a_n}\right\rangle$ is an arbitrary sequence of numbers.
\end{definition}