Divide 36√39/9√13. Provide an exact answer.

Answer 1

To divide these two terms, we need to rationalize the denominators.

First, let's simplify the numerator:
√39= √(3*13) = √3 * √13

The expression becomes:
36√3 * √13/9√13

Now let's simplify the denominator by multiplying it by the conjugate of itself:
9√13 * √13 = 9√(13*13) = 9*13 = 117

The expression becomes:
36√3 * √13/117

To simplify even further, we can divide both the numerator and denominator by their common factors:
36/117 = 4/13
√3/1 = √3

The final simplified expression is:
(4/13)√3

Answer 2

are you sure that's it?