Tuesday, July 26, 2016

College Algebra, Chapter 1, 1.4, Section 1.4, Problem 14

Find the real imaginary part of the complex number $2 -\sqrt{-5}$

$
\begin{equation}
\begin{aligned}
& 2 - \sqrt{-5} && \text{recall that } i^2 = -1\\
\\
& 2 - \sqrt{5 i^2} && \text{Simplify}\\
\\
& 2 - i \sqrt{5} && \text{The real part is 2 while the imaginary part is } \sqrt{5}
\end{aligned}
\end{equation}
$

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