Question

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:
\[
\frac{\sqrt{19}}{3}
\]