Choose the one alternative that best completes the statement or answers the question.
Multiply. Assume all variables represent nonnegative real numbers.
-$4 \sqrt { 7 } ( \sqrt { 11 } + \sqrt { 7 } )$
A) $28 \sqrt { 11 } + 28$
B) $4 \sqrt { 11 } + 7$
C) $4 \sqrt { 77 } + 28$
D) $4 \sqrt { 77 } + 7$

Question

Quizplus · Accepted Answer

Use the distributive property to multiply:
\begin{align*}
4 \sqrt { 7 } ( \sqrt { 11 } + \sqrt { 7 } ) &= 4\sqrt{7}\cdot\sqrt{11} + 4\sqrt{7}\cdot\sqrt{7} \
&= 4\sqrt{77} + 28
\end{align*}
Therefore, the answer is choice C.

Choose the One Alternative That Best Completes the Statement or Answers