−9(3)\sqrt{-9(3)} −343\sqrt{-343}

asked by guest
on Jan 04, 2025 at 6:32 pm



You asked:

Evaluate the expression: −(9⋅3)⋅−343\sqrt{-\left( 9 \cdot 3 \right)} \cdot \sqrt{-343}

MathBot Answer:

−(9⋅3)⋅−343=−2121≈−96.23408959407264013834899106828818\sqrt{-\left( 9 \cdot 3 \right)} \cdot \sqrt{-343} = - 21 \sqrt{21} \approx -96.23408959407264013834899106828818

−(9⋅3)⋅−343=−9⋅3⋅−343=−27⋅−343=−27⋅−343=3⋅i⋅3⋅−343=3⋅i⋅3⋅7⋅i⋅7=−21⋅21\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}

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