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Mathematics
Problem
What is the simplified value of
1
1
+
2
+
1
2
+
3
+
1
3
+
4
\frac{1}{1+\sqrt{2}} + \frac{1}{\sqrt{2}+\sqrt{3}} + \frac{1}{\sqrt{3}+\sqrt{4}}
1
+
2
1
+
2
+
3
1
+
3
+
4
1
?
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