From patterns to conjectures. As you engage in this activity, you’ll be encouraged to recognize patterns, converge values, and understand the conditions under which these nested radicals approach specific constants or exhibit unique behaviors.

Prepare for a mathematical adventure that will take you to the very heart of infinite nested square roots. This activity promises to unravel the mesmerizing depths of this concept while providing you with practical tools and visual aids, including Computer Algebra System (CAS) screens and Python programming.