Write $\sqrt { - \frac { 25 } { 16 } }$ in terms of i and simplify.
A) $\frac { 5 } { 4 }$
B) $\frac { 5 } { 4 } i$
C) $- \frac { 5 } { 4 } i$

Name: Write $\sqrt { - \frac { 25 } { 16 } }$ in terms of i and simplify. A) $\frac { 5 } { 4 }$ B) $\frac { 5 } { 4 } i$ C) $- \frac { 5 } { 4 } i$
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Question

Quizplus · Accepted Answer

The expression $\sqrt{-\frac{25}{16}}$ is equivalent to $\sqrt{\frac{25}{16}\cdot-1}$, which simplifies to $\frac{5}{4}i$. Therefore, the best choice is B.

Write −2516\sqrt { - \frac { 25 } { 16 } }−1625​​

Write $\sqrt { - \frac { 25 } { 16 } }$