Write each of the following in terms of i and simplify. Match each expression with the corresponding answer.
-$- 8 i \sqrt { 6 }$
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.
-$- 8 i \sqrt { 6 }$ 
A) $\sqrt { - 147 }$ 
B) $- 2 \sqrt { - 96 }$

Quizplus · Accepted Answer

- Rewrite √6 as √(4×1.5) and then take out the √4 to get 2√1.5 inside the square root. 
- Then, multiply -8i by 2 to get -16i.
- Finally, combine the terms to get -16i√1.5 or -2√(6)i. 
- This matches with option B after simplification. 
- Option A is not possible since the radicand (number inside the square root) must be negative for the answer to have an imaginary part.

Write Each of the Following in Terms of I and Simplify