need help on 2 questions to that Im stuck on I have answers but am unsure if they are correct or not. Answer asap

Question

(5+√3) (2-√6)

 

 

 

And...

 

7√7  - 6√12  - (4√28  + 4√3)

Answer 1

(5 + √3)(2 - √6)

 

Use FOIL to expand.

 

 

10 - 5√(6) + 2√(3) - √(18)

 

 

Break down the radicals by their factors.

 

10 - 5√(6) + 2√(3) - √(9)√(2) =

 

10 - 5√(6) + 2√(3) - 3√(2)

 

 

 

 

 

7√(7) - 6√(12) - (4√(28) + 4(3)) =

 

7√(7) - 6√(4)√(3) - 4√(4)√(7) - 4√(3) =

 

7√(7) - 12√(3) - 8√(7) - 4√(3) =

 

-16√(3) - √(7)