This can't be pretty

Algebra Level 3

13+22+15+26+17+212+19+220+...\dfrac{1}{\sqrt{3+2\sqrt{2}}}+\dfrac{1}{\sqrt{5+2\sqrt{6}}}+\dfrac{1}{\sqrt{7+2\sqrt{12}}}+\dfrac{1}{\sqrt{9+2\sqrt{20}}}+...

+1197+29702+1199+29900= ?+\dfrac{1}{\sqrt{197+2\sqrt{9702}}}+\dfrac{1}{\sqrt{199+2\sqrt{9900}}} = \ ?

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