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

Divide sqrt95/3sqrt5

1 answer

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

First, rewrite \(\sqrt{95}\): \[ \sqrt{95} = \sqrt{19 \times 5} = \sqrt{19} \cdot \sqrt{5} \]
Substitute back into the original expression: \[ \frac{\sqrt{95}}{3\sqrt{5}} = \frac{\sqrt{19} \cdot \sqrt{5}}{3\sqrt{5}} \]
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: \[ \frac{\sqrt{19}}{3} \]