The value of $\large\frac{1}{1+\sqrt 2 }+\frac{1}{\sqrt 2 +\sqrt 3 }+ \frac{1}{\sqrt 3 + \sqrt 4 }.....\large\frac{1}{\sqrt{8}+\sqrt 9}$=

Question

$\begin{array}{1 1} 0 \\ 2 \\ 1 \\ none\;of\;the\;above \end{array} $