Question

Which choice is equivalent to the fraction below when x is an appropriate

Answer 1

The rationalized form of the expression will be $-1+\sqrt{2}}$

Rationalization of rational functions

Given the rational function

$\frac{\sqrt{12}}{\sqrt{3}-3}$

Multiplying by the conjugate of the denominator

$=\frac{\sqrt{12}}{\sqrt{3}-3}\times \frac{\sqrt{3}+3}{\sqrt{3}+3}\\=\frac{\sqrt{12}(\sqrt{3}+3)}{3-9}\\ =\frac{(\sqrt{36}+3\sqrt{12})}{3-9}\\=\frac{6+6\sqrt{2}}{-6}\\ =$

Simplifying further will give:

$-1+\sqrt{2}}$

Hence the rationalized form of the expression will be $-1+\sqrt{2}}$

Learn more on rationalization here: brainly.com/question/14261303