Divide two square root of 65 over square root five provide an exact answer

Answer 1

To simplify \(\frac{2\sqrt{65}}{\sqrt{5}}\), we can start by simplifying the expression.

1. Rewrite the expression: \[ \frac{2\sqrt{65}}{\sqrt{5}} = 2 \cdot \frac{\sqrt{65}}{\sqrt{5}} \]

2. Use the property of square roots \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\): \[ \frac{\sqrt{65}}{\sqrt{5}} = \sqrt{\frac{65}{5}} = \sqrt{13} \]

3. Now substitute this back into the expression: \[ 2 \cdot \sqrt{13} \]

Thus, the exact answer is: \[ 2\sqrt{13} \]