Question

Divide 36√39 / 9√13

Answer 1

To divide these two expressions, we can simplify them individually and then divide the results.

First, let's simplify 36√39:
√39 = √(3*13) = √(3) * √(13) = √3√13
36√39 = 36 * √3√13 = 6√3 * 6√13 = 216√39

Next, let's simplify 9√13:
9√13 = 3√13 * 3 = 9√13

Now we can divide the simplified expressions:
(216√39) / (9√13) = (216 / 9) * (√39 / √13) = 24 * (√(39/13)) = 24 * √3

Therefore, 36√39 / 9√13 simplifies to 24√3.