Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
-$\frac { \sqrt { x } - 11 } { \sqrt { x } + 11 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator, multiply both the numerator and the denominator by the conjugate of the denominator, which is $\sqrt{x} - 11$. This results in $\frac{(\sqrt{x} - 11)^2}{(\sqrt{x} + 11)(\sqrt{x} - 11)}$, simplifying to $\frac{x - 22\sqrt{x} + 121}{x - 121}$.

Rationalize the Denominator and Simplify x−11x+11\frac { \sqrt { x } - 11 } { \sqrt { x } + 11 }x​+11x​−11​

Rationalize the Denominator and Simplify $\frac { \sqrt { x } - 11 } { \sqrt { x } + 11 }$