Saw this solution and not understanding how they combined 1/(a+1) with the radical

The calculus here I get…what I don’t is how they combined 1/(a+1) and 1/sqrt(a/a+1)) to be one expression with both terms under the radical. No matter how I try to multiply them, I don’t see how we can get to everything being under the radical.

The calculus here I get…what I don’t is how they combined 1/(a+1) and 1/sqrt(a/a+1)) to be one expression with both terms under the radical. No matter how I try to multiply them, I don’t see how we can get to everything being under the radical.