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

Solve (sqrt2 - sqrt3)^2

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

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

1/(sqrt3 + sqrt2) + 1/(sqrt3 -sqrt2)=

Find (sqrt3 - sqrt 2)/(sqrt 3+sqrt 2) -(sqrt3 + sqrt 2)/(sqrt 3-sqrt 2) +1/(sqrt2+1)-1/(sqrt2-1)

Solve for x sqrt3x^2-2sqrt(2)x-2sqrt3=0

Examine whether the following numbers are rational or irrational : (2 sqrt3 - 3 sqrt2) (2sqrt3 + 3 sqrt2)

Rationalise the denominator of (sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2)) .

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

Simplify: 1/(sqrt5 + sqrt4) + 1/(sqrt4 + sqrt3) + 1/(sqrt3 + sqrt2) + 1/(sqrt2 + sqrt1)