QuestionWhich is the rationalized form of the expression $\frac{\sqrt{x}}{\sqrt{x}+\sqrt{7}}$ ? a. $\frac{x-\sqrt{7 x}}{x-7}$ c. $\frac{x+\sqrt{7 x}}{x-7}$ b. $\frac{\sqrt{7 x}}{7}$ d. $\frac{x}{x+7}$

Studdy Solution
Combine the simplified numerator and denominator:
$\frac{x - \sqrt{7x}}{x - 7}$
This is the rationalized form of the expression.
The rationalized form of the expression is:
$$\boxed{\frac{x - \sqrt{7x}}{x - 7}}$$
This corresponds to option a.