Divide √95/3√5

Question

. Give an exact answer(1 point)

Answer 1

To simplify the expression \(\frac{\sqrt{95}}{3\sqrt{5}}\), we can follow these steps:

1. Rewrite \(\sqrt{95}\) as \(\sqrt{19 \cdot 5}\), so: \[ \sqrt{95} = \sqrt{19} \cdot \sqrt{5} \]

2. Substitute this into the expression: \[ \frac{\sqrt{95}}{3\sqrt{5}} = \frac{\sqrt{19} \cdot \sqrt{5}}{3\sqrt{5}} \]

3. We can cancel \(\sqrt{5}\) in the numerator and the denominator: \[ = \frac{\sqrt{19}}{3} \]

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