Question

Question

Divide 36√39/9√13
. Give an exact answer(1 point)

Answer 1

To simplify the expression \( \frac{36\sqrt{39}}{9\sqrt{13}} \), we can break it down step by step.

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

2. Divide the square roots: \[ \frac{\sqrt{39}}{\sqrt{13}} = \sqrt{\frac{39}{13}} \] Since \( \frac{39}{13} = 3 \), we have: \[ \sqrt{\frac{39}{13}} = \sqrt{3} \]

3. Combine results: Now, we combine the results from steps 1 and 2: \[ 4\sqrt{3} \]

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