Question 1: \((iii)\) \(\quad\)\(\large{\frac{\sqrt{2}-1}{\sqrt{5}}}\)
Solution:
\[\begin{align*}
\frac{\sqrt{2} -1}{\sqrt{5}}&=\frac{\sqrt{2} -1}{\sqrt{5}} \times \frac{\sqrt{5}}{\sqrt{5}}\\
&=\frac{\sqrt{5}\left(\sqrt{2} -1\right)}{\left(\sqrt{5}\right)^{2}}\\
&=\frac{\sqrt{2\times 5} -\sqrt{5}}{5}\\
&=\frac{\sqrt{10} -\sqrt{5}}{5}\\
\end{align*}\]