(5+√7)/(3-√7)=

asked by guest
on Nov 17, 2024 at 3:42 pm



You asked:

Evaluate the expression: \(\frac{5 + \sqrt{7}}{3 - \sqrt{7}}\)

MathBot Answer:

\[\frac{5 + \sqrt{7}}{3 - \sqrt{7}} = \frac{\sqrt{7} + 5}{3 - \sqrt{7}} \approx 21.58300524425836236200646301455704\]

\[\begin{aligned}\frac{5 + \sqrt{7}}{3 - \sqrt{7}}& = \left(5 + \sqrt{7}\right) \cdot \frac{1}{3 - \sqrt{7}}\\& = \frac{1}{3 - \sqrt{7}} \cdot \left(5 + \sqrt{7}\right)\end{aligned}\]

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