Write each of the following in terms of i and simplify. Match each expression with the corresponding answer.
-$7 i \sqrt { 3 }$
A) $\sqrt { - 147 }$
B) $- 2 \sqrt { - 96 }$

Question

Write each of the following in terms of i and simplify. Match each expression with the corresponding answer.
-$7 i \sqrt { 3 }$ 
A) $\sqrt { - 147 }$ 
B) $- 2 \sqrt { - 96 }$

Quizplus · Accepted Answer

$\sqrt{-147}$ simplifies to $\sqrt{-1 \cdot 147}$ = $\sqrt{-1} \cdot \sqrt{147}$ = $i \cdot \sqrt{147}$. Since $\sqrt{147}$ simplifies to $\sqrt{3 \cdot 49}$ = $\sqrt{3} \cdot 7$, the expression becomes $i \cdot 7\sqrt{3}$ = $7i\sqrt{3}$.

Write Each of the Following in Terms of I and Simplify