$${\frac{\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{16}}}}\right)}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}$$
$${\frac{\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{16}}}}\right)}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}$$
$${\frac{\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}\right)}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}$$
$${\frac{{\mathtt{7}}}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}$$
$$\left({\frac{{\mathtt{7}}}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}{\mathtt{\,\times\,}}{\frac{\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{2}}}}\right)}{\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{2}}}}\right)}}\right)$$
$$\\\frac{35+7\sqrt{2}}{25-2}\\\\
\frac{35+7\sqrt{2}}{23}\\\\$$
$${\frac{\left({\mathtt{7}}\right)}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}} = {\mathtt{1.952\: \!151\: \!953\: \!765\: \!724\: \!6}}$$
.$${\frac{\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{16}}}}\right)}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}$$
$${\frac{\left({\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{4}}\right)}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}$$
$${\frac{{\mathtt{7}}}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}$$
$$\left({\frac{{\mathtt{7}}}{\left({\mathtt{5}}{\mathtt{\,-\,}}{\sqrt{{\mathtt{2}}}}\right)}}{\mathtt{\,\times\,}}{\frac{\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{2}}}}\right)}{\left({\mathtt{5}}{\mathtt{\,\small\textbf+\,}}{\sqrt{{\mathtt{2}}}}\right)}}\right)$$
$$\\\frac{35+7\sqrt{2}}{25-2}\\\\
\frac{35+7\sqrt{2}}{23}\\\\$$