Question

prove 1/2+√ 3+2/√ 3-√ 5+1/2-√ 5=0

Answer 1

=$\frac{1}{2} + \frac{1}{2} + \sqrt{3}+ \frac{2}{ \sqrt{3} }- \sqrt{5} - \sqrt{5}$
=$1+ \frac{5}{ \sqrt{3} }-2 \sqrt{5}$
=$\frac{ \sqrt{3}+5-2 \sqrt{15} }{ \sqrt{3} }$