Solve `x^2-(sqrt3-sqrt2)x+sqrt6=0`

Solve x^(2)-(sqrt3+1)x+sqrt3=0 .

Solve (sqrt3 +sqrt2)^x + (sqrt3 -sqrt2)^x= 10 .

Solve x^(2)-(sqrt2+i)x+sqrt2i=0

Solve {sqrt(3+2 sqrt2)}^x + {sqrt(3-2 sqrt2)}^x =6 .

Solve: x^(2)-(sqrt(3)+1)x+sqrt(3)=0

Solve (i) x^(2) -(3sqrt2-2i)x-6sqrt2i=0

Solve 3x^2-2sqrt8x+2=0

Solve the following quadratic equations : (i) 9x^(2) - 8x+2=0 (ii) sqrt7 x^(2) +x+ sqrt7=0 (iii) 2sqrt3x^(2) -sqrt2 x + 3sqrt3 =0

Solve: (sqrt(2+sqrt(3)))^(x)+(sqrt(2-sqrt(3)))^(x)=2^(x)

Solve tan^2 x-(1+sqrt3)tan x+sqrt3=0