Write $\sqrt { - \frac { 25 } { 4 } }$ in terms of i and simplify.
A) $\frac { 5 } { 2 }$
B) $- \frac { 5 } { 2 } + i$
C) $\frac { 5 } { 2 } + i$
D) $- \frac { 5 i } { 2 }$
E) $\frac { 5 i } { 2 }$

Question

Quizplus · Accepted Answer

The square root of a negative number can be expressed in terms of $i$, where $i = \sqrt{-1}$. Thus, $\sqrt { - \frac { 25 } { 4 } } = \sqrt { \frac { 25 } { 4 } } \cdot \sqrt{-1} = \frac { 5 } { 2 } i$.

Write −254\sqrt { - \frac { 25 } { 4 } }−425​​

Write $\sqrt { - \frac { 25 } { 4 } }$