Simplify: `(2sqrt(3)-sqrt(2))/(2sqrt(3)+sqrt(2))`

Rationales the denominator and simplify: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))

Simplify (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) e

Simplify: (2sqrt(3)+sqrt(5))(2sqrt(3)-sqrt(5))

Simplify: (2sqrt(2)+sqrt(3))/(2sqrt(2)-sqrt(3))

Simplify: sqrt(3-2sqrt(2))

Simplify : sqrt(3+2sqrt(2))

Rationales the denominator and simplify: (i) (sqrt(3)-\ sqrt(2))/(sqrt(3)\ +\ sqrt(2)) (ii) (5+2\ sqrt(3))/(7+4\ sqrt(3))

Find the values of a and b if : (2sqrt(3)+3sqrt(2))/(2sqrt(3)-3sqrt(2))=a+bsqrt(6)

Simplify the following by rationalizing the denominator: (sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))

Simplify: 2/(sqrt(5)+\ sqrt(3))+1/(sqrt(3)+\ sqrt(2))-3/(sqrt(5)+\ sqrt(2))