(0.5)/(6/ $\sqrt{150}$)

asked by guest
on Nov 28, 2024 at 3:27 am



You asked:

Evaluate the expression: \(\frac{0.5}{\frac{6}{\sqrt{150}}}\)

MathBot Answer:

\[\frac{0.5}{\frac{6}{\sqrt{150}}} = \frac{5 \sqrt{6}}{12} \approx 1.02062072615965754091553503112745\]

\[\begin{aligned}\frac{0.5}{\frac{6}{\sqrt{150}}}& = \frac{5}{10} \cdot \frac{1}{6 \cdot \frac{1}{\sqrt{150}}}\\& = \frac{5}{10} \cdot \frac{1}{6 \cdot \frac{1}{5 \cdot \sqrt{6}}}\\& = \frac{5}{10} \cdot \frac{1}{\frac{1}{5} \cdot \sqrt{6}}\\& = 5 \cdot \frac{1}{12} \cdot \sqrt{6}\\& = \frac{5}{12} \cdot \sqrt{6}\end{aligned}\]

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