Question

Divide sqrt95/3sqrt5

Answer 1

To simplify \(\frac{\sqrt{95}}{3\sqrt{5}}\), we can start by simplifying the square root in the numerator:

1. First, rewrite \(\sqrt{95}\):
\[
\sqrt{95} = \sqrt{19 \times 5} = \sqrt{19} \cdot \sqrt{5}
\]

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

3. Now, we can cancel out \(\sqrt{5}\) in the numerator and denominator:
\[
\frac{\sqrt{19}}{3}
\]

Thus, the simplified form of \(\frac{\sqrt{95}}{3\sqrt{5}}\) is:
\[
\frac{\sqrt{19}}{3}
\]