How to tangle with a nested radical

@article{Landau1991HowTT,
  title={How to tangle with a nested radical},
  author={S. Landau},
  journal={The Mathematical Intelligencer},
  year={1991},
  volume={16},
  pages={49-55}
}
  • S. Landau
  • Published 1991
  • Mathematics
  • The Mathematical Intelligencer
Like many an intriguing question in algebraic manipulation, the problem of denesting nested radicals had its origins with Ramanujan. That is not to say that no one had ever considered the problem of denesting radicals before he did. Certainly the fact that q _____(____ ( __ ( __ 5 + 2 6 = 2 + 3 is simple enough that it must have been known several centuries ago. Ramanujan [?] upped the ante. For each of the formulae below, he took the doubly nested radical on the left and simplified it to a… Expand
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