Choose the one alternative that best completes the statement or answers the question.
Multiply. Assume all variables represent nonnegative real numbers.
-$6 \sqrt { 5 x } ( \sqrt { 11 } + \sqrt { 5 x } )$
A) $6 \sqrt { 11 } + 5 x$
B) $6 \sqrt { 55 } + 5 x$
C) $6 \sqrt { 55 x } + 30 x$
D) $30 \sqrt { 11 x } + 30 x$

Question

Quizplus · Accepted Answer

To solve the given expression, distribute $6 \sqrt{5x}$ across the terms inside the parentheses: $6 \sqrt{5x} \cdot \sqrt{11} + 6 \sqrt{5x} \cdot \sqrt{5x}$. This simplifies to $6 \sqrt{55x} + 30x$, which matches option C.

Choose the One Alternative That Best Completes the Statement or Answers