What is n?
Algebra
Level
5
\[\underbrace{ \sqrt{ x+2\sqrt{x+2\sqrt{x+\ldots +2\sqrt{x+2\sqrt{3x}}}}}}_{\large \text{ n radical signs }}=x\]
Find the average of all the real roots of the equation above for a natural number \(n>1\).
by
Sandeep Bhardwaj