$\sqrt{5}$ รท 2$\sqrt{2}$ - $\sqrt{5}$ / 2 $\sqrt{2}$ - $\sqrt{5}$
You asked:
Evaluate the expression: \(\frac{\sqrt{5}}{2 \cdot \sqrt{2}} - \frac{\sqrt{5}}{2 \cdot \sqrt{2}} - \sqrt{5}\)
MathBot Answer:
\[\frac{\sqrt{5}}{2 \cdot \sqrt{2}} - \frac{\sqrt{5}}{2 \cdot \sqrt{2}} - \sqrt{5} = - \sqrt{5} \approx -2.23606797749978969640917366873128\]
\[\begin{aligned}\frac{\sqrt{5}}{2 \cdot \sqrt{2}} - \frac{\sqrt{5}}{2 \cdot \sqrt{2}} - \sqrt{5}& = \sqrt{5} \cdot \frac{1}{2 \cdot \sqrt{2}} - \sqrt{5} \cdot \frac{1}{2 \cdot \sqrt{2}} - \sqrt{5}\\& = \frac{1}{4} \cdot \sqrt{10} - \sqrt{5} \cdot \frac{1}{2 \cdot \sqrt{2}} - \sqrt{5}\\& = \frac{1}{4} \cdot \sqrt{10} - \frac{1}{4} \cdot \sqrt{10} - \sqrt{5}\\& = 0 - \sqrt{5}\\& = - \sqrt{5}\end{aligned}\]