How do I rearrange this equation to get the following?

Question

I have the following equation where $g = 9.8$ $$ T= \dfrac{25g}{1/2+\sqrt3/2}. $$ I need to get: $$ T = -25g + 25\sqrt3g , $$ but I keep ending up with this but with the signs reversed so $$ T = 25g - 25\sqrt3g. $$

Answer 1

$$ \frac{1}{\frac 1 2 + \frac{\sqrt{3}}{2} } = \frac{1}{\frac{1+\sqrt{3}}{2}}=\frac{2}{1+\sqrt{3}}=\frac{2(1-\sqrt 3)}{(1+\sqrt 3)(1-\sqrt 3)} = \frac{2-2\sqrt 3}{1-3} = \frac{2(1-\sqrt 3)}{-2}=-1 + \sqrt 3 \\ $$ Multiplying with $25g$ yields the wanted result