# Chapter 1 - Section 1.3 - Complex Numbers - 1.3 Exercises - Page 103: 41

$-\frac{1}{8}+\frac{\sqrt{2}}{8}i$

#### Work Step by Step

Original Problem: $\frac{-3 + \sqrt{-18}}{24}$ Factor out $\sqrt{-1}$ and 3 from $\sqrt{-18}$. $\frac{-3+3\times\sqrt{-1}\times\sqrt{2}}{24}$ Recall that $\sqrt{-1}$ = $i$. $\frac{-3+3i\sqrt{2}}{24}$ Simplify. $\frac{-1+i\sqrt{2}}{8}$ Separate. $-\frac{1}{8}+\frac{\sqrt{2}}{8}i$

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