A ssume all variables represent nonnegative real numbers.
-$2 \sqrt{3 \mathrm{x}}(\sqrt{11}+\sqrt{3 \mathrm{x}})$
A) $2 \sqrt{11}+3 x$
B) $6 \sqrt{11 x}+6 x$
C) $2 \sqrt{33 x}+6 x$
D) $2 \sqrt{33}+3 x$

Question

Quizplus · Accepted Answer

The expression can be simplified by distributing $2 \sqrt{3x}$ across the terms inside the parenthesis, resulting in $2\sqrt{3x}\sqrt{11} + 2\sqrt{3x}\sqrt{3x}$. Simplifying further, we get $2\sqrt{33x} + 6x$, which matches option C.

A Ssume All Variables Represent Nonnegative Real Numbers 23x(11+3x)2 \sqrt{3 \mathrm{x}}(\sqrt{11}+\sqrt{3 \mathrm{x}})23x​(11​+3x​)

A Ssume All Variables Represent Nonnegative Real Numbers $2 \sqrt{3 \mathrm{x}}(\sqrt{11}+\sqrt{3 \mathrm{x}})$