Some easy sequences

Algebra Level pending

\(\frac { 1 }{ \sqrt { 2 } -\sqrt { 1 } } -\frac { 1 }{ \sqrt { 3 } -\sqrt { 2 } } +\frac { 1 }{ \sqrt { 4 } -\sqrt { 3 } } -\frac { 1 }{ \sqrt { 5 } -\sqrt { 4 } } ...+\frac { 1 }{ \sqrt { 6400 } -\sqrt { 6399 } } = { n }^{ 2 }\)

Determine \(\left| n \right| \).

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