Howdy I could use a little help solving this problem.
(2*(x+11)^(1/2)-x*(x+11)^(-1/2))/(x+11)
Hello, Nyture!
Multiply by $\displaystyle \frac{(x+11)^{\frac{1}{2}}}{(x+11)^{\frac{1}{2}}} $Simplify: .$\displaystyle \frac{2(x+11)^{\frac{1}{2}} -x(x+11)^{-\frac{1}{2}}} {x+11}$
. . $\displaystyle \frac{(x+11)^{\frac{1}{2}}}{(x+11)^{\frac{1}{2}}} \cdot \frac{2(x+11)^{\frac{1}{2}} - x(x+11)^{-\frac{1}{2}}}{x+11} \;\;=\;\;\frac{2(x+11) - x}{(x+11)^{\frac{3}{2}}}$
. . . . . . . $\displaystyle = \;\;\frac{2x + 22 - x}{(x+11)^{\frac{3}{2}}} \;\;=\;\;\frac{x+22}{(x+11)^{\frac{3}{2}}} $