Cool Summation

Algebra Level 3

If n=2r1(2n+7)+(2n+5)=1\sum_{n=2}^{r} \frac{1}{\sqrt{(2n+7)}+\sqrt{(2n+5)}}=1 Then find the value of rr.

This is one of my original problems. It belongs to the set- Questions I've Made ©.
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