Multiply and simplify where possible. $( - 3 \sqrt { 3 } ) ( - 4 \sqrt { 8 } )$
A) $24 \sqrt { 2 }$
B) $12 \sqrt { 6 }$
C) $3 \sqrt { 6 }$
D) $24 \sqrt { 6 }$
E) $8 \sqrt { 6 }$

Question

Quizplus · Accepted Answer

First, we can simplify each square root: $\sqrt{3}= \sqrt{3} \cdot \sqrt{1} = \sqrt{3 \cdot 1} = \sqrt{3}$ and $\sqrt{8} = \sqrt{4 \cdot 2} = \sqrt{4} \cdot \sqrt{2} = 2 \sqrt{2}$. Then, we can use the distributive property to multiply: $( - 3 \sqrt { 3 } ) ( - 4 \sqrt { 8 } ) = 12\sqrt{3}\sqrt{2}= 12\sqrt{6 \cdot \frac{1}{2}} = 12\sqrt{6}$. Thus, the best choice is D.

Multiply and Simplify Where Possible (−33)(−48)( - 3 \sqrt { 3 } ) ( - 4 \sqrt { 8 } )(−33​)(−48​)

Multiply and Simplify Where Possible $( - 3 \sqrt { 3 } ) ( - 4 \sqrt { 8 } )$