Nested Radicals
Consider the following expressions.
\( A = \sqrt{2\sqrt{3\sqrt{4\sqrt{5\sqrt{6 \ldots }}}}} \)
\( B = \sqrt{-1 + 3\sqrt{-2 + 5\sqrt{-3 + 7\sqrt{-4 + 9\sqrt{-5 + \cdots }}}}} \)
| Part A | What are the \(8\) digits of \(A\) immediately following the decimal point? | |
|---|---|---|
| Part B | What are the \(8\) digits of \(B\) immediately following the decimal point? |