To simplify the expression \(-\frac{6}{7} + \sqrt{5}\) and rationalize the denominator, we can note that the expression itself doesn't have a fractional denominator that requires rationalization. However, if you're looking for a common form with a rationalized denominator, we can present it differently.
To combine the two terms, we can rewrite them with a common denominator, which is \(7\):
\[ -\frac{6}{7} + \sqrt{5} = -\frac{6}{7} + \frac{7\sqrt{5}}{7} = \frac{-6 + 7\sqrt{5}}{7} \]
So, the expression \(-\frac{6}{7} + \sqrt{5}\) can be expressed as:
\[ \frac{-6 + 7\sqrt{5}}{7} \]
This is the simplified form. If rationalization of a different expression involving square roots or fractions is needed, please clarify.