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# Puzzles

## What is the sum?

What is $$\displaystyle\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+...+\frac{1}{\sqrt{15}+\sqrt{16}}$$?
If you enjoyed this puzzle, check out Sunday Afternoon Maths LI,
puzzles about fractions, or a random puzzle.

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