1/2×12√2×6√2
You asked:
Evaluate the expression: \(\frac{1}{2} \cdot 12 \cdot \sqrt{2} \cdot 6 \cdot \sqrt{2}\)
MathBot Answer:
\[\frac{1}{2} \cdot 12 \cdot \sqrt{2} \cdot 6 \cdot \sqrt{2} = 72\]
\[\begin{aligned}\frac{1}{2} \cdot 12 \cdot \sqrt{2} \cdot 6 \cdot \sqrt{2}& = \frac{12}{2} \cdot \sqrt{2} \cdot 6 \cdot \sqrt{2}\\& = 6 \cdot \sqrt{2} \cdot 6 \cdot \sqrt{2}\\& = 36 \cdot \sqrt{2} \cdot \sqrt{2}\\& = 72\end{aligned}\]