Question

19. Simplify (-5-√3)^2

Answer 1

Using the FOIL method
-5 × -5 = 25
-5 × -√3 = +5√3
-√3 × -5 = +5√3
-√3 × -√3 = +3
so the answer is 28 +10√3

Answer 2

(-5-√3)² =
(-5-√3)² . (-5-√3)² =
(-5)² - (-5).√3 - (-5).√3 + (√3)² =
25 + 5√3 + 5√3 + 3 =  
25 + 3 + 10√3 =
28 + 10√3 =

Simplify:

2(14 + 5√3)