3/5* $\sqrt{150}$* 2 - $\sqrt{3}$
You asked:
Evaluate the expression: \(\frac{3}{5} \cdot \sqrt{150} \cdot 2 - \sqrt{3}\)
MathBot Answer:
\[\frac{3}{5} \cdot \sqrt{150} \cdot 2 - \sqrt{3} = - \sqrt{3} + 6 \sqrt{6} \approx 12.96488764913019129565625810672948\]
\[\begin{aligned}\frac{3}{5} \cdot \sqrt{150} \cdot 2 - \sqrt{3}& = \frac{3}{5} \cdot 5 \cdot \sqrt{6} \cdot 2 - \sqrt{3}\\& = 3 \cdot \sqrt{6} \cdot 2 - \sqrt{3}\\& = 6 \cdot \sqrt{6} - \sqrt{3}\\& = - \sqrt{3} + 6 \cdot \sqrt{6}\end{aligned}\]