3/5* $\sqrt{150}$*(2- $\sqrt{3}$ )
You asked:
Evaluate the expression: \(\frac{3}{5} \cdot \sqrt{150} \cdot \left(2 - \sqrt{3}\right)\)
MathBot Answer:
\[\frac{3}{5} \cdot \sqrt{150} \cdot \left(2 - \sqrt{3}\right) = 3 \sqrt{6} \cdot \left(2 - \sqrt{3}\right) \approx 1.96901639534121314996850593034807\]
\[\begin{aligned}\frac{3}{5} \cdot \sqrt{150} \cdot \left(2 - \sqrt{3}\right)& = \frac{3}{5} \cdot 5 \cdot \sqrt{6} \cdot \left(2 - \sqrt{3}\right)\\& = 3 \cdot \sqrt{6} \cdot \left(2 - \sqrt{3}\right)\end{aligned}\]