Question

Find
1/√1 + 1/√2 + 1/√3 + .................. 1/√2000

Answer 1

$\frac{1}{ \sqrt{1} } + \frac{1}{ \sqrt{2} } + \frac{1}{ \sqrt{3} } + .............. \frac{1}{ \sqrt{2000} } \\ \\ \\ \frac{1}{ \sqrt{1} } \times \frac{ \sqrt{1} }{ \sqrt{1} } + \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } + \frac{1}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } + .............. \frac{1}{ \sqrt{2000} } \times \frac{ \sqrt{2000} }{ \sqrt{2000} } \\ \\ \\ \frac{ \sqrt{1} }{1} + \frac{ \sqrt{2} }{2} + \frac{ \sqrt{3} }{3} + ............ \frac{ \sqrt{2000} }{2000}$

Answer 2

Step-by-step explanation:

ANSWER IS GIVEN BELOW

$\frac{1}{ \sqrt{1} } + \frac{1}{\sqrt{2} }........ \frac{1}{ \sqrt{2000} } \\ \\ ratoinalizing \\ \\ \frac{1}{ \sqrt{1} } \times \frac{ \sqrt{1} }{ \sqrt{1} } + \frac{1}{ \sqrt{2} } \times \frac{ \sqrt{2} }{ \sqrt{2} } .......... \frac{1}{ \sqrt{2000} } \times \frac{ \sqrt{2000} }{ \sqrt{2000} } \\ \\ = \frac{ \sqrt{1} }{1} + \frac{ \sqrt{2} }{2} ......... \frac{ \sqrt{2000} }{2000}$

Mark as brainliest