(0.5)/$\sqrt{150}$
You asked:
Evaluate the expression: \(\frac{0.5}{\sqrt{150}}\)
MathBot Answer:
\[\frac{0.5}{\sqrt{150}} = \frac{\sqrt{6}}{60} \approx 0.0408248290463863016366214012451\]
\[\begin{aligned}\frac{0.5}{\sqrt{150}}& = \frac{5}{10} \cdot \frac{1}{\sqrt{150}}\\& = \frac{5}{10} \cdot \frac{1}{5 \cdot \sqrt{6}}\\& = 5 \cdot \frac{1}{300} \cdot \sqrt{6}\\& = \frac{1}{60} \cdot \sqrt{6}\end{aligned}\]