Root squares everywhere
Algebra
Level
3
\[ \large \dfrac{1}{\sqrt{1}+\sqrt{2}}+ \dfrac{1}{\sqrt{2}+ \sqrt{3}}+ \dfrac{1}{\sqrt{3}+\sqrt{4}}+ \cdots+ \dfrac{1}{\sqrt{99}+\sqrt{100}} = \, ? \]
by
Paola Ramírez