Question

plzz solve this . Ans is 1

Answer 1

$= \ \textgreater \ Given : \frac{1}{1 + \sqrt{2} + \sqrt{3} } + \frac{1}{1 - \sqrt{2} + \sqrt{3} }$

$= \ \textgreater \ \frac{1 + \sqrt{3} - \sqrt{2} }{(1 + \sqrt{2} + \sqrt{3})(1 + \sqrt{3} - \sqrt{2}) } + \frac{1 + \sqrt{2} + \sqrt{3} }{(1 + \sqrt{2} + \sqrt{3})(1 + \sqrt{3} - \sqrt{2}) }$

$= \ \textgreater \ \frac{(1 + \sqrt{3} - \sqrt{2}) + (1 + \sqrt{2} + \sqrt{3}) }{(1 + \sqrt{2} + \sqrt{3})(1 + \sqrt{3} - \sqrt{2}) }$


$= \ \textgreater \ \frac{2 + 2 \sqrt{3} }{2 + 2 \sqrt{3} }$


= > 1.



Hope this helps!