QuestionSimplify: $\frac{6}{5-\sqrt{7}}$. Choose the correct answer: a. $\frac{5+\sqrt{7}}{3}$ b. $\frac{5+\sqrt{7}}{6}$ c. $\frac{5+\sqrt{7}}{18}$ d. $15+3 \sqrt{7}$.

Studdy Solution
We can simplify this further by dividing each term in the numerator by6.
$$\frac{5 + \sqrt{7}}{3}$$So, the simplified form of the given expression is $\frac{5 + \sqrt{7}}{3}$, which corresponds to option (a).