Question

Divide 36√39 9√13
. Give an exact answer

Answer 1

To divide \( 36\sqrt{39} \) by \( 9\sqrt{13} \), we can rewrite it mathematically as:

\[
\frac{36\sqrt{39}}{9\sqrt{13}}
\]

Now we can simplify this fraction.

1. Divide the coefficients (the numbers outside the square roots), which are \( 36 \) and \( 9 \):

\[
\frac{36}{9} = 4
\]

2. Now take the square roots:

\[
\frac{\sqrt{39}}{\sqrt{13}} = \sqrt{\frac{39}{13}} = \sqrt{3}
\]

Now, we can combine the simplified parts:

\[
4 \cdot \sqrt{3} = 4\sqrt{3}
\]

Therefore, the exact answer is:

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