Question

$$\left. \begin{array} { l } { i - \frac { \sqrt { 2 } + 1 } { 1 } } \\ { k - \frac { 1 } { 2 \sqrt { 5 } - 5 \sqrt { 2 } } } \end{array} \right.$$

Evaluate

$-1+i-\sqrt{2},\ k+\frac{\sqrt{2}}{6}+\frac{\sqrt{5}}{15}$