(((-16+17\sqrt(7))(2+\sqrt(7))))/(2)
You asked:
Evaluate the expression: \(\frac{\left(-16 + 17 \cdot \sqrt{7}\right) \cdot \left(2 + \sqrt{7}\right)}{2}\)
MathBot Answer:
\[\frac{\left(-16 + 17 \cdot \sqrt{7}\right) \cdot \left(2 + \sqrt{7}\right)}{2} = \frac{\left(-16 + 17 \sqrt{7}\right) \left(2 + \sqrt{7}\right)}{2} \approx 67.31176179958131531451454178275334\]
\[\begin{aligned}\frac{\left(-16 + 17 \cdot \sqrt{7}\right) \cdot \left(2 + \sqrt{7}\right)}{2}& = \left(-16 + 17 \cdot \sqrt{7}\right) \cdot \left(2 + \sqrt{7}\right) \cdot \frac{1}{2}\\& = \left(-16 + 17 \cdot \sqrt{7}\right) \cdot \left(1 + \frac{1}{2} \cdot \sqrt{7}\right)\\& = \left(1 + \frac{1}{2} \cdot \sqrt{7}\right) \cdot \left(-16 + 17 \cdot \sqrt{7}\right)\end{aligned}\]