Question

Aratati ca $\frac{2}{ \sqrt{3}-1 } - \sqrt{3} = 1$ {help}

Answer 1

$\dfrac{2}{\sqrt3-1}-\sqrt3=\dfrac{2\cdot(\sqrt3+1)}{(\sqrt3+1)\cdot(\sqrt3-1)}-\sqrt3=\\\\=\dfrac{2\cdot(\sqrt3+1)}{(\sqrt3)^2-1^2}-\sqrt3=\dfrac{2\cdot(\sqrt3+1)}{2}-\sqrt3=\sqrt3+1-\sqrt3=1.$

Green eyes.