Express in terms of i.
-$\sqrt{-268}$
A) $-2 \mathrm{i} \sqrt{67}$
B) $2 \mathrm{i} \sqrt{67}$
C) $2 \sqrt{67}$
D) $-2 \sqrt{67}$

Question

Quizplus · Accepted Answer

The square root of a negative number can be expressed in terms of $i$, where $i = \sqrt{-1}$. Therefore, $\sqrt{-268} = \sqrt{-1 \cdot 268} = \sqrt{-1} \cdot \sqrt{268} = i \sqrt{268}$. Since $268 = 4 \cdot 67$, this simplifies to $i \cdot 2 \sqrt{67} = 2i\sqrt{67}$.

Express in Terms of I −268\sqrt{-268}−268​ A) −2i67-2 \mathrm{i} \sqrt{67}−2i67​ B) 2i672 \mathrm{i} \sqrt{67}2i67​

Express in Terms of I $\sqrt{-268}$ A) $-2 \mathrm{i} \sqrt{67}$ B) $2 \mathrm{i} \sqrt{67}$