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

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

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

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations. (sqrt3+sqrt2)/(sqrt3-sqrt2)=a+bsqrt6

Prove that the following are irrational. sqrt3+ sqrt5

If 'a' and 'b' are rational numbers, find the value of a and b in each of the following equations. (sqrt5+sqrt3)/(2sqrt5-3sqrt3)=a-bsqrt(15)

Simplify the following expressions : (2+sqrt3)(2-sqrt3)