- #1
Helly123
- 581
- 20
Homework Statement
Homework Equations
The Attempt at a Solution
I tried to rationalize the fractions by multiplied it by $$\sqrt{n + 1} - \sqrt{n} $$
it will be sum of $$ \frac {\sqrt{n + 1} - \sqrt{n}} {2n +1} $$
also tried to see the arithmetic structure
$$ 1 + \frac{1}{\sqrt{2} + \sqrt{1}} + \frac{1}{\sqrt{3} + \sqrt{2}} + \frac{1}{\sqrt{4} + \sqrt{3}} ... \frac{1}{\sqrt{121} + \sqrt{120}} $$
is there any method to solve it? that I don't know