[tex] \frac{2+ \sqrt{3} }{5- \sqrt{3} } = ?
[/tex]
[tex]
\frac{2+ \sqrt{3} }{5- \sqrt{3} }* \frac{5+ \sqrt{3}}{5+ \sqrt{3}} =[/tex]
[tex]
\frac{(2+ \sqrt{3})*(5+ \sqrt{3}) }{(5- \sqrt{3})*(5+ \sqrt{3} )} =[/tex]
[tex]
\frac{10+2 \sqrt{3}+5 \sqrt{3}+ \sqrt{3} ^{2} }{25+5 \sqrt{3}-5 \sqrt{3} -\sqrt{3} ^{2} } =[/tex]
[tex]\frac{10+7 \sqrt{3}+3}{25-3} =[/tex]
[tex]
\boxed{\frac{13+7 \sqrt{3}}{22} or13,55110708...}[/tex]
