From charlesreid1

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Friday Morning Math Problem

Radical Sums

Evaluate the sum:

$ \dfrac{1}{1 + \sqrt{1}} + \dfrac{1}{\sqrt{2} + \sqrt{3}} + \dfrac{1}{\sqrt{3} + \sqrt{4}} + \dots + \dfrac{1}{\sqrt{1977} + \sqrt{1978}} $

Solution
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