√5 × -4 √20
You asked:
Evaluate the expression: \(\sqrt{5} \cdot -\left( 4 \cdot \sqrt{20} \right)\)
MathBot Answer:
\[\sqrt{5} \cdot -\left( 4 \cdot \sqrt{20} \right) = -40\]
\[\begin{aligned}\sqrt{5} \cdot -\left( 4 \cdot \sqrt{20} \right)& = \sqrt{5} \cdot -1 \cdot 4 \cdot \sqrt{20}\\& = \sqrt{5} \cdot -1 \cdot 4 \cdot 2 \cdot \sqrt{5}\\& = \sqrt{5} \cdot -1 \cdot 8 \cdot \sqrt{5}\\& = - \sqrt{5} \cdot 8 \cdot \sqrt{5}\\& = -40\end{aligned}\]