Solve `(sqrt2 - sqrt3)^2`

Solve: (sqrt 3+ sqrt2)(sqrt2-sqrt3)

Solve sqrt(3x)-sqrt(x)=2 .

solve (3sqrt5 +sqrt3)/(sqrt5 -sqrt3)

Simplify: (sqrt3/2)^2 -(sqrt3)^2+(sqrt 2)^2 +1/2

Solve sqrt(x-2) le 3

Solve sqrt(2x+1)+sqrt(3x+2)=sqrt(5x+3)

Solve sqrt3 x^2 + x + sqrt3 = 0

Solve for x sqrt3x^2-2sqrt(2)x-2sqrt3=0

Examine whether the following numbers are rational or irrational : (2 sqrt3 - 3 sqrt2) (2sqrt3 + 3 sqrt2)

Solve sqrt(x-2)+sqrt(4-x)=2.