Question 1: \((ii)\) \(\quad\) \(\large{\frac{\sqrt{2}+\sqrt{5}}{\sqrt{3}}} \)
Solution:
\[\begin{align*}
\frac{\sqrt{2} +\sqrt{5}}{\sqrt{3}}&=\frac{\sqrt{2} +\sqrt{5}}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}}\\
&=\frac{\sqrt{3}\left(\sqrt{2} +\sqrt{5}\right)}{\left(\sqrt{3}\right)^{2}}\\
&=\frac{\sqrt{2×3}+\sqrt{5×3}}{3}\\
&=\frac{\sqrt{6} +\sqrt{15}}{3}\\
\end{align*}\]