$\sqrt{\3^6 * 2^4}$

asked by guest
on Oct 21, 2024 at 11:47 am



You asked:

Evaluate the expression: \(\sqrt{{3}^{6} \cdot {2}^{4}}\)

MathBot Answer:

\[\sqrt{{3}^{6} \cdot {2}^{4}} = 108\]


\[\begin{aligned}\sqrt{{3}^{6} \cdot {2}^{4}}& = \sqrt{3^{6} \cdot 2^{4}}\\& = \sqrt{729 \cdot 2^{4}}\\& = \sqrt{729 \cdot 16}\\& = \sqrt{11664}\\& = 108\end{aligned}\]