Question

$frac{1}{2 + sqrt{3} } + frac{2}{sqrt{3} - 1 }$
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Answer 1

$frac{1}{2+sqrt{3} }+frac{2}{sqrt{3} -1}=frac{1*(2-sqrt{3}) }{(2+sqrt{3})(2-sqrt{3})}+frac{2*(sqrt{3}+1) }{(sqrt{3}-1)(sqrt{3}+1)}=frac{2-sqrt{3}}{4-3}+frac{2(sqrt{3}+1) }{3-1}=2-sqrt{3}+sqrt{3}+1=3$