# What is the value?

Algebra Level 2

Find the value of $$\frac{1}{1+\sqrt{2}}$$+$$\frac{1}{\sqrt{2}+\sqrt{3}}$$+$$\frac{1}{\sqrt{3}+\sqrt{4}}$$+$$\frac{1}{\sqrt{4}+\sqrt{5}}$$+$$\frac{1}{\sqrt{5}+\sqrt{6}}$$+$$\frac{1}{\sqrt{6}+\sqrt{7}}$$+$$\frac{1}{\sqrt{7}+\sqrt{8}}$$+$$\frac{1}{\sqrt{8}+\sqrt{9}}$$