$\sqrt{2}$(2 $\sqrt{5}$ +3 $\sqrt{2}$ )
You asked:
Evaluate the expression: \(\sqrt{2} \cdot \left(2 \cdot \sqrt{5} + 3 \cdot \sqrt{2}\right)\)
MathBot Answer:
\[\sqrt{2} \cdot \left(2 \cdot \sqrt{5} + 3 \cdot \sqrt{2}\right) = \sqrt{2} \cdot \left(3 \sqrt{2} + 2 \sqrt{5}\right) \approx 12.32455532033675866399778708886544\]