Menyederhanakan Akar

Sederhanakanlah Persamaan Akar Berikut !

1. $\frac{4(2 + \sqrt{3})(2 - \sqrt{3})}{3 + \sqrt{5}} $

Jawab :

 
$ \frac{4(2 + \sqrt{3})(2 - \sqrt{3})}{3 + \sqrt{5}} \times \frac{(3 - \sqrt{5})}{(3 - \sqrt{5})}  

 \frac{4(a-3)(3 - \sqrt{5})}{(9-5)} = (3-\sqrt{5}) $ 

(UN 2010 Paket A)

 2. $\frac{6(3 + \sqrt{5})(3 - \sqrt{5})}{2 + \sqrt{6}}$

Jawab :

 
$\frac{6(3 + \sqrt{5})(3 - \sqrt{5})}{2 + \sqrt{6}} \times \frac{(2 - \sqrt{6})}{(2 - \sqrt{6})} $ $\frac{6(9-5)(2 - \sqrt{6})}{(4-6)} = (-24 + \frac12 \sqrt{6}) $

(UN 2010 Paket B)