[latex]Big(1+sqrt{5-sqrt3}Big)Big(1-sqrt{5-sqrt3}Big)+ Big(1-sqrt{7+sqrt3}Big)Big(1+sqrt{7+sqrt3}Big)= \ \ =1^2-Big(sqrt{5-sqrt3}Big) ^ 2 + 1^2-Big(sqrt{7+sqrt3}Big)^2 = \ \ = 1-|5-sqrt3|+1-|7+sqrt3| = 1-(5-sqrt3)+1-(7+sqrt3) = \ \ = 1-5+sqrt3+1 -7-sqrt3= \ \= 2-12 = -10 \ \ \ $M-am folosit de formula: quad (a-b)(a+b) = a^2-$b$^2[/latex]