Evaluate
\sqrt{13}+\sqrt{14}+\sqrt{15}+\sqrt{17}+\sqrt{19}+\sqrt{21}+\sqrt{22}+\sqrt{23}+\sqrt{26}+\sqrt{29}+\sqrt{30}+\sqrt{31}+\sqrt{33}+\sqrt{34}+\sqrt{35}+\sqrt{37}+\sqrt{38}+\sqrt{39}+\sqrt{41}+\sqrt{42}+\sqrt{43}+\sqrt{46}+\sqrt{47}+3\sqrt{6}+3\sqrt{7}+3\sqrt{10}+3\sqrt{11}+6\sqrt{5}+10\sqrt{3}+15\sqrt{2}+28\approx 239.035800604
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