(5+√7)/(3-√7)=
You asked:
Evaluate the expression: \(\frac{5 + \sqrt{7}}{3 - \sqrt{7}}\)
MathBot Answer:
\[\frac{5 + \sqrt{7}}{3 - \sqrt{7}} = \frac{\sqrt{7} + 5}{3 - \sqrt{7}} \approx 21.58300524425836236200646301455704\]
\[\begin{aligned}\frac{5 + \sqrt{7}}{3 - \sqrt{7}}& = \left(5 + \sqrt{7}\right) \cdot \frac{1}{3 - \sqrt{7}}\\& = \frac{1}{3 - \sqrt{7}} \cdot \left(5 + \sqrt{7}\right)\end{aligned}\]