(2√10)(-5√5)
You asked:
Evaluate the expression: \(2 \cdot \sqrt{10} \cdot -\left( 5 \cdot \sqrt{5} \right)\)
MathBot Answer:
\[2 \cdot \sqrt{10} \cdot -\left( 5 \cdot \sqrt{5} \right) = - 50 \sqrt{2} \approx -70.7106781186547524400844362104849\]
\[\begin{aligned}2 \cdot \sqrt{10} \cdot -\left( 5 \cdot \sqrt{5} \right)& = 2 \cdot \sqrt{10} \cdot -1 \cdot 5 \cdot \sqrt{5}\\& = -2 \cdot \sqrt{10} \cdot 5 \cdot \sqrt{5}\\& = -50 \cdot \sqrt{2}\end{aligned}\]