Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of 6.

5√7 + 12√6 - 10√7 - 5√6

Write it like this:

(12√6 - 5√6) + (5√7 - 10√7),

as the 12 and 5 are both being multiplied by √6, they can be added or subtracted and its the same with 5 and 10, so it becomes:

7√6 - 5√7

You should leave it like this.