Verified answer

I will assume you meant the following.

The format is a little funny:

= 2 + 3√4 + 4√6 - 8√24

= 2 + 3(2) + 4√6 - 8√(4 * 6). . . . . . . take out the 4 under the square root, and make it a 2 on the outside. Then, you can combine like terms.

= 2 + 6 + 4√6 - 16√6

= 8 + 4√6 - 16√6

= 8 - 12√6