-2√8 -5√10 -√8
You asked:
Evaluate the expression: \(-\left( 2 \cdot \sqrt{8} \right) - 5 \cdot \sqrt{10} - \sqrt{8}\)
MathBot Answer:
\[-\left( 2 \cdot \sqrt{8} \right) - 5 \cdot \sqrt{10} - \sqrt{8} = - 5 \sqrt{10} - 6 \sqrt{2} \approx -24.29666967508046695280460006742178\]
\[\begin{aligned}-\left( 2 \cdot \sqrt{8} \right) - 5 \cdot \sqrt{10} - \sqrt{8}& = - 2 \cdot \sqrt{8} - 5 \cdot \sqrt{10} - \sqrt{8}\\& = - 2 \cdot 2 \cdot \sqrt{2} - 5 \cdot \sqrt{10} - \sqrt{8}\\& = - 4 \cdot \sqrt{2} - 5 \cdot \sqrt{10} - \sqrt{8}\\& = -4 \cdot \sqrt{2} - 5 \cdot \sqrt{10} - \sqrt{8}\\& = -4 \cdot \sqrt{2} - 5 \cdot \sqrt{10} - 2 \cdot \sqrt{2}\\& = \left(-5 \cdot \sqrt{10} - 4 \cdot \sqrt{2}\right) - 2 \cdot \sqrt{2}\\& = -6 \cdot \sqrt{2} - 5 \cdot \sqrt{10}\end{aligned}\]