(√24−√54)×√6
You asked:
Evaluate the expression: \(\left(\sqrt{24} - \sqrt{54}\right) \cdot \sqrt{6}\)
MathBot Answer:
\[\left(\sqrt{24} - \sqrt{54}\right) \cdot \sqrt{6} = -6\]
\[\begin{aligned}\left(\sqrt{24} - \sqrt{54}\right) \cdot \sqrt{6}& = \left(2 \cdot \sqrt{6} - \sqrt{54}\right) \cdot \sqrt{6}\\& = \left(2 \cdot \sqrt{6} - 3 \cdot \sqrt{6}\right) \cdot \sqrt{6}\\& = - \sqrt{6} \cdot \sqrt{6}\\& = -6\end{aligned}\]