To simplify \( \frac{95}{\sqrt{35}} \), we can rationalize the denominator.
We start by multiplying the numerator and denominator by \( \sqrt{35} \):
\[ \frac{95}{\sqrt{35}} \cdot \frac{\sqrt{35}}{\sqrt{35}} = \frac{95\sqrt{35}}{35} \]
Now, we can simplify the fraction in the numerator:
\[ \frac{95\sqrt{35}}{35} = \frac{95}{35}\sqrt{35} \]
Next, we simplify \( \frac{95}{35} \):
\[ 95 \div 5 = 19 \quad \text{and} \quad 35 \div 5 = 7 \]
Thus,
\[ \frac{95}{35} = \frac{19}{7} \]
Putting it all together, we have:
\[ \frac{95\sqrt{35}}{35} = \frac{19}{7}\sqrt{35} \]
Therefore, the exact answer is:
\[ \frac{19\sqrt{35}}{7} \]