Do the division by rationalizing the denominator and simplifying. Variables represent positive numbers. $$\frac { \sqrt { x } - 2 } { \sqrt { x } + 2 }$$

Question

Quizplus · Accepted Answer

Rationalizing the denominator involves multiplying the numerator and the denominator by the conjugate of the denominator, $\sqrt{x} - 2$. This results in $\frac{(\sqrt{x} - 2)^2}{(\sqrt{x})^2 - 2^2}$, which simplifies to $\frac{x - 4\sqrt{x} + 4}{x - 4}$.

Do the Division by Rationalizing the Denominator and Simplifying x−2x+2\frac { \sqrt { x } - 2 } { \sqrt { x } + 2 }x​+2x​−2​

Do the Division by Rationalizing the Denominator and Simplifying $\frac { \sqrt { x } - 2 } { \sqrt { x } + 2 }$