divide radical 95/3 radical 5. provide an exact answer

Answer 1

To divide \( \frac{\sqrt{95}}{3\sqrt{5}} \), we can simplify this expression as follows:

1. Rewrite the expression: \[ \frac{\sqrt{95}}{3\sqrt{5}} = \frac{\sqrt{95}}{\sqrt{5}} \cdot \frac{1}{3} \]

2. Simplify \( \frac{\sqrt{95}}{\sqrt{5}} \): \[ \frac{\sqrt{95}}{\sqrt{5}} = \sqrt{\frac{95}{5}} = \sqrt{19} \]

3. Now, substitute back into the expression: \[ \frac{\sqrt{95}}{3\sqrt{5}} = \frac{\sqrt{19}}{3} \]

Thus, the exact answer is: \[ \frac{\sqrt{19}}{3} \]