[tex] a=(\frac{1}{2}-\sqrt{3})^{2}+(\frac{\sqrt{3}}{2}+1)^{2}+(1-\sqrt{5})(1+\sqrt{5})= [/tex]
[tex] (\frac{1}{4}-2\cdot\frac{1}{2}\cdot\sqrt{3}+3)+(\frac{3}{4}}+2\cdot\frac{\sqrt{3}}{2}+1^{2}})+(1-5)= [/tex]
[tex] (\frac{1}{4}+\frac{3}{4})=\frac{4}{4}=1 [/tex]
