Solve the following equations:-
`sqrt(3x)+sqrt(2y)=sqrt(3)`
`sqrt(5x)+sqrt(3y)=sqrt(3)`

Solve the following equations : sqrt3x+sqrt2y = sqrt3 sqrt5x+ sqrt3y = sqrt3

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations . i) (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))=a+bsqrt(6) ii) (sqrt(5)+sqrt(3))/(2sqrt(5)-3sqrt(3))=a-bsqrt(15)

Solve the following equations Cot x + "Cosec x" = sqrt(3)

sqrt(3)x^(2) - sqrt(2)x + 3sqrt(3)=0

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

Solve the following equations and write general solutions 4 cos^(2)x + sqrt(3) = 2(sqrt(3) +1) cos x

(sqrt3+sqrt2)(sqrt3-sqrt2) =