( \frac{a-2\sqrt{3}a+3}{a-3} = \frac{(a(1-2\sqrt{3}))+3}{a-3} = \frac{(a(1-2\sqrt{3})+3)}{a-3} )
( \frac{10}{\sqrt{14}-2} = \frac{10(\sqrt{14}+2)}{\sqrt{14}-2} = \frac{10(\sqrt{14}+2)}{\sqrt{14}-2} )
( \frac{a-2\sqrt{3}a+3}{a-3} = \frac{(a(1-2\sqrt{3}))+3}{a-3} = \frac{(a(1-2\sqrt{3})+3)}{a-3} )
( \frac{10}{\sqrt{14}-2} = \frac{10(\sqrt{14}+2)}{\sqrt{14}-2} = \frac{10(\sqrt{14}+2)}{\sqrt{14}-2} )