`sqrt(- 2)sqrt(- 3)=`

(sqrt(7)+2sqrt(3))(sqrt(7)-2sqrt(3))

Rationalize the denominator: (2 + sqrt 3)/(2 - sqrt 3) + (2 - sqrt 3)/(2 + sqrt 3) + (sqrt 3 - 1)/(sqrt 3 + 1)

The value of (2 + sqrt(3))/(2- sqrt(3)) + (2- sqrt(3))/(2 + sqrt(3)) + ( sqrt(3) + 1)/(sqrt(3) -1) is

(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))=

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =

(2+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))+(sqrt(3)+1)/(sqrt(3)-1)is

If a= (sqrt3 - sqrt2)/(sqrt3 + sqrt2), b = (sqrt3 + sqrt2)/(sqrt3 - sqrt2) then what is the value of a^2/b+b^2/a ?

(5+sqrt(3))/(2-sqrt(3))+(2-sqrt(3))/(2+sqrt(3))