I have the following constraint that I want to set in CVX:

A+B-C < sqrt(-A^2+(2*B+2*C)*A-(B-C)^2)

The lhs is affine hence convex.

I also know that the variables A, B, C are always positive.

I proved that under the positivity assumption, the rhs of the inequality above is concave, meaning that the constraint is convex.

How do I formulate the sqrt function on the rhs such that CVX will accept it as a concave function?