Ineed you to explain your answer, .

7√6 - 5√7  

Step-by-step explanation:

5√7 + 12√6 - 10√7 - 5√6    (rearranging)

= (5√7 - 10√7) + (12√6  - 5√6)   (factor out √6 and √7 respectively)

= (5 - 10) √7  + (12  - 5)√6

=  -5√7  + 7√6  (rearrange)

=  7√6 - 5√7  

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!