Find the units digit of the expression `x=((-2a)/(4+a)-(sqrt(|a|-3)+sqrt(3-|a|))/(3-a))^(1993)`

simplify the expression (sqrt(2)+sqrt(3))/(sqrt(3)+sqrt(2))

simplify the expression and find a and b (sqrt(3)+1)/(sqrt(3)-1)=a+b sqrt(3)

Evaluate the following expressions (sqrt(3)+sqrt(2))^(3)+(sqrt(3)-sqrt(2))^(3)

Express as a+ib(-sqrt(3)+sqrt(-2))(2sqrt(3)-i)

Find the roots of the equations: sqrt(3)x^(2)-sqrt(2)x+3sqrt(3)=0 .

Simplify each of the following expressions: (i) (3+sqrt(3))(2+sqrt(2)) (ii) (3+sqrt(3))(3-sqrt(3)) (iii) (sqrt(5)-sqrt(2))(sqrt(5)+sqrt(2))

Factorize the following expressions 4sqrt3x^2+5x-2sqrt3