Divide 36√39 / 9√13 . Provide an exact answer. (1 point).
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:
\[
4\sqrt{3}
\]