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

Answer 1

To divide the square roots, we can multiply both the numerator and the denominator by the conjugate of the denominator to rationalize the denominator.

The conjugate of √13 is -√13.

So, multiplying both the numerator and the denominator by -√13, we get:

(36√39 * -√13) / (9√13 * -√13)
= -468√507 / (-117)
= 4√507

Therefore, 36√39 / 9√13 = 4√507.