Square roots galore

Algebra Level 2

Evaluate the following sum:

\( \frac{1}{ \sqrt1 \times 2+\sqrt2 \times 1} + \frac{1}{ \sqrt2 \times 3+\sqrt3 \times 2}+ ...+\frac{1}{ \sqrt{9999} \times 10000+\sqrt{10000} \times 9999}. \)

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