What would the index be for the square root on n?

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Given the definition $$ T(n) = aT(n/b) + n^c $$ I need to know what the value of c is for $\sqrt{n}$.

I don't know how it works with the square root of values, so any help would be appreciated.

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Hint:

$$x^2=y\iff x=y^{1/2}.$$