Solve by using suitable identity:
`(2-sqrt{2}) (2+sqrt{2})`

Solve (sqrt2 - sqrt3)^2

Solve the following quadratic: \ sqrt(2)x^2+x+sqrt(2)=0

Solve or simplify the following problem, using the properties of roots: sqrt(18) -: sqrt(2)

Solve using cross-multiplication {:(sqrt(2)x-sqrt(3)y=0),(sqrt(5)x+sqrt(2)y=0):}

Solve by factorization: sqrt(3)x^2-2sqrt(2)x-2sqrt(3)=0

Evaluate using binomial theorem: (i) (sqrt(2)+1)^(6) +(sqrt(2)-1)^(6) (ii) (sqrt(5)+sqrt(2))^(4)-(sqrt(5)-sqrt(2))^(4)

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

Solve the following system of equations: 2/(sqrt(x))+3/(sqrt(y))=2,\ \ \ \ 4/(sqrt(x))-9/(sqrt(y))=-1

Solve the equation: sqrt(2)x^2+x+sqrt(2)=0

Solve sin x + sqrt(3) cos x = sqrt(2)