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

Answer 1

To divide \(36\sqrt{39}\) by \(9\sqrt{13}\), you can follow these steps:

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

First, we can simplify the coefficients (numbers outside of the square roots) by dividing them:

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

This leaves us with:

\[
4 \cdot \frac{\sqrt{39}}{\sqrt{13}}
\]

Now, we can divide the square roots:

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

So we have:

\[
4 \cdot \frac{\sqrt{3 \cdot 13}}{\sqrt{13}}
\]

The \(\sqrt{13}\) in the numerator and denominator cancels out:

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

So the exact answer of the division is:

\[
4\sqrt{3}
\]