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