I am trying to simplify a complex expression. One of the smallest parts of this expression is $\sqrt{1/(1-(1-m/k)^d)}\cdot\sqrt{(1-(1-m/k)^d)}$. For this smallest part it seems that Simplify
does not work. Hence, I tried to use
Simplify[Sqrt[1/(1-(1-m/k)^d)]*Sqrt[(1-(1-m/k)^d)],m>=1 && k>=1 && d>=1 && k>=4m]
expecting $1$ as result. Instead, I get exactly the same expression that I provided in input. How is it possible?
Note: I noticed that if I replace $d$ with a positive integer, it works without specifying that the variables are real.