Question

(sqrt(15) - sqrt(5))/(sqrt(3) - 1) - (5 - 2sqrt(5))/(2sqrt(5) - 4)

Answer 1

\(=\sqrt{5}-\dfrac{\sqrt{5}\left(\sqrt{5}-2\right)}{2\left(\sqrt{5}-2\right)}=\sqrt{5}-\dfrac{\sqrt{5}}{2}=\dfrac{\sqrt{5}}{2}\)

Answer 2

=√5-\(\dfrac{\text{√}5\left(\text{√}5-2\right)}{2\left(\text{√}5-2\right)}\)=√5-\(\dfrac{\text{√5}}{2}\)=\(\dfrac{\text{√ 5}}{2}\)