JEE Main & Advanced
Sample Paper
JEE Main - Mock Test - 9
question_answer
Let\[S=\frac{\sqrt{1}}{1+\sqrt{1}+\sqrt{2}}+\frac{\sqrt{2}}{1+\sqrt{2}+\sqrt{3}}+\frac{\sqrt{3}}{1+\sqrt{3}+\sqrt{4}}\]\[+...+\frac{\sqrt{n}}{1+\sqrt{n}+\sqrt{n+1}}=3.\] Then n is equal to_______.