divide 36√39/9√13 Provide an exact answer

Answer 1

To simplify the expression \(\frac{36\sqrt{39}}{9\sqrt{13}}\), follow these steps:

1. Simplify the coefficients: \[ \frac{36}{9} = 4 \]

2. Simplify the square roots: \[ \frac{\sqrt{39}}{\sqrt{13}} = \sqrt{\frac{39}{13}} = \sqrt{3} \]

3. Combine the simplified parts: \[ 4\sqrt{3} \]

Thus, the exact answer is: \[ \boxed{4\sqrt{3}} \]