Express the number in terms of i.
-$- \sqrt { - 75 }$
A) $- 3 \sqrt { 5 } \mathrm { i }$
B) $- 15 \mathrm { i }$
C) $- 5 \sqrt { 3 } \mathrm { i }$
D) $5 \sqrt { 3 } \mathrm { i }$

Question

Quizplus · Accepted Answer

The expression $- \sqrt{-75}$ can be rewritten as $- \sqrt{75} \cdot \sqrt{-1}$. Since $\sqrt{-1} = i$, it becomes $- \sqrt{75} \cdot i$. Simplifying $\sqrt{75}$ gives $\sqrt{25 \times 3} = 5\sqrt{3}$. Therefore, the expression becomes $- 5\sqrt{3} \cdot i$, which matches option C.

Express the Number in Terms of I −−75- \sqrt { - 75 }−−75​

Express the Number in Terms of I $- \sqrt { - 75 }$