To simplify the expression \( 5 - \sqrt{2 + \frac{3}{5} - \sqrt{}} \), we first need to clarify if there was a typo or misunderstanding in the expression, as it does not appear to be correctly formed.
Assuming you meant \( 5 - \sqrt{2 + \frac{3}{5}} \), we can work towards simplifying it:
1. Start with the expression inside the square root:
\[
2 + \frac{3}{5} = \frac{10}{5} + \frac{3}{5} = \frac{13}{5}
\]
2. Now plug this into the square root:
\[
\sqrt{2 + \frac{3}{5}} = \sqrt{\frac{13}{5}} = \frac{\sqrt{13}}{\sqrt{5}} = \frac{\sqrt{13} \cdot \sqrt{5}}{5} = \frac{\sqrt{65}}{5}
\]
3. Next, substitute this back into the original expression:
\[
5 - \frac{\sqrt{65}}{5}
\]
4. To combine, write 5 as a fraction with the same denominator:
\[
5 = \frac{25}{5}
\]
Hence,
\[
5 - \frac{\sqrt{65}}{5} = \frac{25 - \sqrt{65}}{5}
\]
This is the simplified version given the assumption. However, if your original expression was intended to be different, please provide clarification for accurate simplification or assistance.