\(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\)

\(\frac{5\sqrt{2}}{2}\) - \(\frac{\sqrt{8}}{8}\) = \(\frac{20 \sqrt{2} - 2\sqrt{2}}{8}\) 

= \(\frac{18\sqrt{2}}{8}\) = \(\frac{9\sqrt{2}}{4}\) = m\(\sqrt{2}\)

Therefore, m = \(\frac{9}{4}\) → by comparing