Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.6 - Complex Numbers - 1.6 Exercises - Page 64: 15


The real part of the complex number $\sqrt 3 + \sqrt -4$ is $\sqrt 3$ and the imaginary part is 2.

Work Step by Step

Complex numbers are written in the form a+bi, with a being the real number and b being the imaginary number. A is $\sqrt 3$ so $\sqrt 3$ is the real part of the complex number. In order to find the imaginary part, simplify $\sqrt -4$ to $i\sqrt 4$, since $i = \sqrt -1$. $\sqrt 4$ = 2, so the imaginary part (b) of the complex number is 2.
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