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

question 18

Multiple Choice

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

• A) \(\frac { x + 4 \sqrt { x } + 4 } { x - 4 }\)
• B) \(\frac { x - 4 \sqrt { x } + 4 } { x + 4 }\)
• C) \(\frac { x - 4 \sqrt { x } + 4 } { x - 4 }\)
• D) \(\frac { x - 4 } { x + 4 \sqrt { x } + 4 }\)
• E)none of the above

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