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: $$\boxed{{\displaystyle 4\sqrt{3}}}$$