Question

Which choice is equivalent to the fraction below when x 2? Hint: Rationalize the denominator and simplify.
http://media.apexlearning.com/Images/200710/22/297a17d0-4e99-428c-aaec-5fbb57a7e7b0.gif

Answer 1

\[\frac{ 4(\sqrt{x-2 }+\sqrt{x}) }{(\sqrt{x-2}-\sqrt{x})(\sqrt{x-2}+\sqrt{x)} }\]

Answer 2

\[=\frac{ 4(\sqrt{x-2}+\sqrt{x}) }{(\sqrt{x-2^{})^{2}}-(\sqrt{x})^{2} }\]

Answer 3

\[=\frac{ 4(\sqrt{x-2}+\sqrt{x}) }{ x-2-x}\]

Answer 4

do remaining