1.

The value of the sum \(\frac 1 {2\sqrt 1 + 1\sqrt 2} + \frac 1 {3\sqrt 2 + 2\sqrt 3} + \frac 1 {4\sqrt 3 + 3\sqrt 4} + ...+ \frac 1 {25\sqrt {24} + 24\sqrt {25}}\) is

A. \(\frac 9 {10}\)
B. \(\frac 4 {5}\)
C. \(\frac {14} {15}\)
D. \(\frac {7} {15}\)
Answer» C. \(\frac {14} {15}\)


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