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