`a)` `frac{\sqrt{5}+5}{1+\sqrt{5}}+frac{3+\sqrt{45}}{\sqrt{3}}`
`=frac{\sqrt{5}(1+\sqrt{5})}{1+\sqrt{5}}+frac{3+\sqrt{9.5}}{\sqrt{3}}`
`=\sqrt{5}+frac{3+3\sqrt{5}}{\sqrt{3}}`
`=\sqrt{5}+frac{3(1+\sqrt{5})}{\sqrt{3}}`
`=\sqrt{5}+\sqrt{3}(1+\sqrt{5})`
`=\sqrt{5}+\sqrt{3}+\sqrt{15}`
