Question

Divide √95/3√5
. 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:
\[
\frac{\sqrt{19}}{3}
\]