Evaluating nested radicals
Calculus
Level
1
\[ \sqrt{ \frac{2}{2^{2^0}} + \sqrt{ \frac{2}{2^{2^1}} + \sqrt{ \frac{2}{2^{2^2}} + \sqrt{ \frac{2}{2^{2^3}} +\cdots }}}} \]
If the value of above expression is in the form \(\sqrt{A}\), find the value of \(A\).
by
Akshat Sharda