Write the expression as a single term, factored completely. Do not rationalize the denominator.
-$$\frac { 9 } { 8 \sqrt { 11 x } } + \sqrt { 11 x }$$
A) $\frac { 1 + 5 x } { \sqrt { 11 x } }$
B) $\frac { 9 + 88 x ^ { 2 } } { 8 \sqrt { 11 x } }$
C) $\frac { 9 + 5 x } { 8 \sqrt { 11 x } }$
D) $\frac { 9 + 88 x } { 8 \sqrt { 11 x } }$

Question

Quizplus · Accepted Answer

To combine the terms, we first express $\sqrt{11x}$ with a common denominator: $\sqrt{11x} = \frac{8\sqrt{11x}}{8}$. Then, we can write the expression as $\frac{9}{8\sqrt{11x}} + \frac{8\sqrt{11x}\cdot\sqrt{11x}}{8\sqrt{11x}} = \frac{9 + 8\cdot11x}{8\sqrt{11x}} = \frac{9 + 88x}{8\sqrt{11x}}$.

Write the Expression as a Single Term, Factored Completely 9811x+11x\frac { 9 } { 8 \sqrt { 11 x } } + \sqrt { 11 x }811x​9​+11x​

Write the Expression as a Single Term, Factored Completely $\frac { 9 } { 8 \sqrt { 11 x } } + \sqrt { 11 x }$