  Srinivasa Ramanujan posed a problem on infinite nested radical of the square
root in the Journal of Indian Mathematical Society in 1911. He had generated
the problem years before in the form of an example illustrating a more general
theorem. Of course, how we would figure the solution out without Ramanujan
theorem was scarcely obvious. Generation of infinite nested radicals, the roots
being of higher order i.e. proceeding from the cube roots to the nth root as
well as their evaluation may seem to be somewhat complex. For this purpose a
general solution in the form of a theorem needs to be provided whereby
symmetric patterns of infinite nested radicals of any order of roots may be
evaluated including that of Ramanujan involving square root. In our work, we
have rendered the required solution.
