Question

Answer 1

\(=\dfrac{1}{2}\left(11+2\sqrt{30}\right)-\dfrac{1}{4}\cdot2\sqrt{30}-\dfrac{\sqrt{30}}{2}\)

\(=\dfrac{11}{2}+\sqrt{30}-\dfrac{1}{2}\sqrt{30}-\dfrac{1}{2}\sqrt{30}=\dfrac{11}{2}\)

Answer 2

`1/2(\sqrt{6}+\sqrt{5})^2-1/4\sqrt{120}-\sqrt{15/2}`

`=1/2(6+5+2\sqrt{30})-1/4 .2\sqrt{30}-\sqrt{30}/2`

`=[11+2\sqrt{30}]/2-\sqrt{30}/2-\sqrt{30}/2`

`=[11+2\sqrt{30}-\sqrt{30}-\sqrt{30}]/2=11/2`