If \(\frac{5}{\sqrt{2}}\) – \(\frac{\sqrt{8}}{8}\) = m\(\sqrt{2}\), find the value of m
- \(\frac{12}{5}\)
-
\(\frac{9}{4}\)
- \(\frac{7}{3}\)
- \(\frac{5}{2}\)
The correct answer is: B
Explanation
\(\frac{5}{\sqrt{2}}\) - \(\frac{\sqrt{8}}{8}\) = 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