Write the expression as a complex number in the form a + bi.
-$10 + \sqrt { - 108 }$
A) $10 - 6 \sqrt { 3 } i$
B) $10 + 6 \sqrt { 3 } \mathrm { i }$
C) $10 + 3 \sqrt { 6 } i$
D)18 + 0i

Question

Quizplus · Accepted Answer

The expression $10 + \sqrt{-108}$ can be simplified to $10 + \sqrt{-1}\sqrt{108}$. Since $\sqrt{-1} = i$ and $\sqrt{108} = \sqrt{36 \cdot 3} = 6\sqrt{3}$, the expression becomes $10 + 6\sqrt{3}i$.

Write the Expression as a Complex Number in the Form 10+−10810 + \sqrt { - 108 }10+−108​

Write the Expression as a Complex Number in the Form $10 + \sqrt { - 108 }$