Eliminating square root

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I have a quantity $f=\sqrt{(a+b)^2-c}$ I need to know the explicit dependence of $f$ on the quantity $(a+b)$, is there any way of removing the term $-c$ from the square root and then compensate for it in a subsequent step?

Edit: All quantities are real and ${(a+b)^2-c>0}$