Write in terms of i.
-$$\sqrt { - 280 }$$
A) $- 2 i \sqrt { 70 }$
B) $2 \mathrm { i } \sqrt { 70 }$
C) $2 \sqrt { 70 }$
D) $- 2 \sqrt { 70 }$

Question

Quizplus · Accepted Answer

The square root of a negative number can be written in terms of $i$, where $i = \sqrt{-1}$. Thus, $\sqrt{-280} = \sqrt{280} \cdot \sqrt{-1} = \sqrt{280} \cdot i$. Simplifying $\sqrt{280}$ gives $2\sqrt{70}$, so the expression becomes $2i\sqrt{70}$.

Write in Terms of I −280\sqrt { - 280 }−280​ A) −2i70- 2 i \sqrt { 70 }−2i70​

Write in Terms of I $\sqrt { - 280 }$ A) $- 2 i \sqrt { 70 }$