(-121 √18) +(36√32)
You asked:
Evaluate the expression: \(-\left( 121 \cdot \sqrt{18} \right) + 36 \cdot \sqrt{32}\)
MathBot Answer:
\[-\left( 121 \cdot \sqrt{18} \right) + 36 \cdot \sqrt{32} = - 219 \sqrt{2} \approx -309.71277015970781568756983060192388\]
\[\begin{aligned}-\left( 121 \cdot \sqrt{18} \right) + 36 \cdot \sqrt{32}& = - 121 \cdot \sqrt{18} + 36 \cdot \sqrt{32}\\& = - 121 \cdot 3 \cdot \sqrt{2} + 36 \cdot \sqrt{32}\\& = - 363 \cdot \sqrt{2} + 36 \cdot \sqrt{32}\\& = -363 \cdot \sqrt{2} + 36 \cdot \sqrt{32}\\& = -363 \cdot \sqrt{2} + 36 \cdot 4 \cdot \sqrt{2}\\& = -363 \cdot \sqrt{2} + 144 \cdot \sqrt{2}\\& = -219 \cdot \sqrt{2}\end{aligned}\]