Rationalize the denominator and simplify. Assume that all variables represent positive real numbers.
-$\frac { 7 \sqrt { 2 } } { \sqrt { x } - 9 }$

Question

Quizplus · Accepted Answer

To rationalize the denominator of $\frac { 7 \sqrt { 2 } } { \sqrt { x } - 9 }$, multiply both the numerator and the denominator by the conjugate of the denominator, which is $\sqrt { x } + 9$. This results in $\frac { 7 \sqrt { 2 } (\sqrt { x } + 9) } { (\sqrt { x } - 9)(\sqrt { x } + 9) }$, simplifying to $\frac { 7 \sqrt { 2x } + 63 \sqrt { 2 } } { x - 81 }$.

Rationalize the Denominator and Simplify 72x−9\frac { 7 \sqrt { 2 } } { \sqrt { x } - 9 }x​−972​​

Rationalize the Denominator and Simplify $\frac { 7 \sqrt { 2 } } { \sqrt { x } - 9 }$