Multiply and simplify where possible. $( - 17 \sqrt { 17 } ) ( - 49 \sqrt { 343 } )$
A) $5,831 \sqrt { 7 }$
B) $833 \sqrt { 119 }$
C) $17 \sqrt { 119 }$
D) $5,831 \sqrt { 119 }$
E) $343 \sqrt { 119 }$

Question

Quizplus · Accepted Answer

\begin{align*} ( - 17 \sqrt {17} ) ( - 49 \sqrt { 343 } ) &= (17 \sqrt{17} ) (49 \sqrt{7^3}) \ &= 17 \cdot 49 \cdot \sqrt{17 \cdot 7^3} \ &= 5,831 \sqrt{119} \end{align*} Therefore, the answer is choice D.

Multiply and Simplify Where Possible (−1717)(−49343)( - 17 \sqrt { 17 } ) ( - 49 \sqrt { 343 } )(−1717​)(−49343​)

Multiply and Simplify Where Possible $( - 17 \sqrt { 17 } ) ( - 49 \sqrt { 343 } )$