$\sqrt{-9(3)}$ $\sqrt{-343}$
You asked:
Evaluate the expression: \(\sqrt{-\left( 9 \cdot 3 \right)} \cdot \sqrt{-343}\)
MathBot Answer:
\[\sqrt{-\left( 9 \cdot 3 \right)} \cdot \sqrt{-343} = - 21 \sqrt{21} \approx -96.23408959407264013834899106828818\]
\[\begin{aligned}\sqrt{-\left( 9 \cdot 3 \right)} \cdot \sqrt{-343}& = \sqrt{- 9 \cdot 3} \cdot \sqrt{-343}\\& = \sqrt{- 27} \cdot \sqrt{-343}\\& = \sqrt{-27} \cdot \sqrt{-343}\\& = 3 \cdot i \cdot \sqrt{3} \cdot \sqrt{-343}\\& = 3 \cdot i \cdot \sqrt{3} \cdot 7 \cdot i \cdot \sqrt{7}\\& = -21 \cdot \sqrt{21}\end{aligned}\]