$A M$ - bisector of triangle $A B C, B M=2, C M=3, D$ - the point of intersection of the extension of $A M$ with the circumcircle of the given triangle, $M D=2$. Find $A B$.
Triangle $A B D$ is isosceles, quadrilateral $A B D C$ is an isosceles trapezoid.

## Otvet

$\sqrt{10}$.