12 $\sqrt{54}$ รท6 $\sqrt{3}$
You asked:
Evaluate the expression: \(\frac{12 \cdot \sqrt{54}}{6 \cdot \sqrt{3}}\)
MathBot Answer:
\[\frac{12 \cdot \sqrt{54}}{6 \cdot \sqrt{3}} = 6 \sqrt{2} \approx 8.48528137423857029281013234525819\]
\[\begin{aligned}\frac{12 \cdot \sqrt{54}}{6 \cdot \sqrt{3}}& = 12 \cdot \sqrt{54} \cdot \frac{1}{6 \cdot \sqrt{3}}\\& = 12 \cdot 3 \cdot \sqrt{6} \cdot \frac{1}{6 \cdot \sqrt{3}}\\& = 12 \cdot \frac{1}{2} \cdot \sqrt{2}\\& = 6 \cdot \sqrt{2}\end{aligned}\]