Choose the one alternative that best completes the statement or answers the question.
Multiply. Assume all variables represent nonnegative real numbers.
-$\sqrt { 2 } ( \sqrt { 2 } - \sqrt { 14 } )$
A) $2 - \sqrt { 28 }$
B) $2 + 2 \sqrt { 7 }$
C) $2 - 2 \sqrt { 7 }$
D) $2 - 7 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

\begin{align*}
\sqrt{2}(\sqrt{2}-\sqrt{14}) &= \sqrt{2} \cdot \sqrt{2} - \sqrt{2} \cdot \sqrt{14} \
&= 2 - 2\sqrt{7} 
\end{align*} 
Thus, the answer is choice C.

Choose the One Alternative That Best Completes the Statement or Answers