(3√2 + 5) (2√2 - 3)
You asked:
Evaluate the expression: \(\left(3 \cdot \sqrt{2} + 5\right) \cdot \left(2 \cdot \sqrt{2} - 3\right)\)
MathBot Answer:
\[\left(3 \cdot \sqrt{2} + 5\right) \cdot \left(2 \cdot \sqrt{2} - 3\right) = \left(-3 + 2 \sqrt{2}\right) \left(3 \sqrt{2} + 5\right) \approx -1.5857864376269049511983112757903\]
\[\begin{aligned}\left(3 \cdot \sqrt{2} + 5\right) \cdot \left(2 \cdot \sqrt{2} - 3\right)& = \left(5 + 3 \cdot \sqrt{2}\right) \cdot \left(2 \cdot \sqrt{2} - 3\right)\\& = \left(5 + 3 \cdot \sqrt{2}\right) \cdot \left(-3 + 2 \cdot \sqrt{2}\right)\\& = \left(-3 + 2 \cdot \sqrt{2}\right) \cdot \left(5 + 3 \cdot \sqrt{2}\right)\end{aligned}\]