Rationalize the denominator and simplify. 15sqrt6 / 3 sqrt 5

To rationalize the denominator, multiply by√5/√5 (which is 1).

15√6 (√5)

3√5 (√5)

This makes the √5 in the denominator 5.

15√6√5

3 (5)

Multiply the √6 and √5 to get√30, which cannot be simplified, so you get

15√30

15

15/15 simplifies to 1, so the final answer is √30