Multiply: `(sqrt2+sqrt3)(sqrt2+sqrt3)`

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

Solve: (sqrt 3+ sqrt2)(sqrt2-sqrt3)

solve (3sqrt5 +sqrt3)/(sqrt5 -sqrt3)

Find : (sqrt5+sqrt2)(sqrt3+sqrt2)

If x= ( sqrt5- sqrt3)/ ( sqrt5+ sqrt3) and y= ( sqrt5+ sqrt3)/( sqrt5- sqrt3) find the value of x^(2) + y ^(2)

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

Simplify: (sqrt3/2)^2 -(sqrt3)^2+(sqrt 2)^2 +1/2

Find the values of a and b in each of the following : (a)(5+2sqrt3)/(7+4sqrt(3))=a-6sqrt(3)" "(b)(3-sqrt(5))/(3+2sqrt(5))=asqrt(5)-(19)/(11) (c )(sqrt(2)+sqrt(3))/(3sqrt2-2sqrt(3))=2-bsqrt(6)" "(d)(7+sqrt(5))/(7-sqrt(5))-(7-sqrt(5))/(7+sqrt(5))=a+(7)/(11)sqrt(5b)

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

Solve (sqrt2 - sqrt3)^2