Answer :
[tex]\frac{1}{ \sqrt{7}- \sqrt{3} }
=\frac{1}{ \sqrt{7}- \sqrt{3} } * \frac{ \sqrt{7}+ \sqrt{3} }{ \sqrt{7} + \sqrt{3} }
= \frac{ \sqrt{7} + \sqrt{3} }{( \sqrt{7}+ \sqrt{3}) ^{2} }
= \frac{ \sqrt{7}+ \sqrt{3} }{(7+3)}
=\frac{ \sqrt{7}+ \sqrt{3} }{10}
[/tex]