$$\left. \begin{array} { l } { \quad a = 8 + 3 \sqrt { 7 } \quad \quad b = \frac { 1 } { a } , } \\ { a ^ { 2 } + b ^ { 2 } } \end{array} \right.$$
$a=3\sqrt{7}b+8$
$b\in \mathrm{C}$
$a=3\sqrt{7}b+8$
$b\in \mathrm{R}$
