Multiply and simplify. Assume that all variables represent positive real numbers.
-$\sqrt { 2 } ( \sqrt { 6 } + \sqrt { 2 } )$
A) $4 \sqrt { 3 } + 2$
B) $2 \sqrt { 3 } + 4$
C)6 + 4
D) $2 \sqrt { 3 } + 2$

Question

Quizplus · Accepted Answer

Multiplying inside the parenthesis by distributing $\sqrt{2}$, we get $\sqrt{2} \cdot \sqrt{6} + \sqrt{2} \cdot \sqrt{2} = \sqrt{12} + 2$. Simplifying $\sqrt{12}$ to $2\sqrt{3}$, the final answer is $2\sqrt{3} + 2$.

Multiply and Simplify 2(6+2)\sqrt { 2 } ( \sqrt { 6 } + \sqrt { 2 } )2​(6​+2​)

Multiply and Simplify $\sqrt { 2 } ( \sqrt { 6 } + \sqrt { 2 } )$