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:
\[
\boxed{4\sqrt{3}}
\]