Question

homework: section 3.1 complex numbers
question 1, 3.1.1
hw score
points
express in terms of i.
$sqrt{-19}$
$sqrt{-19} = $
(simplify your answer. type your answer in the form $a+bi$.)

Explanation:

Step1: Rewrite negative radicand

$\sqrt{-19} = \sqrt{19 \times (-1)}$

Step2: Split the square root

$\sqrt{19 \times (-1)} = \sqrt{19} \times \sqrt{-1}$

Step3: Substitute $\sqrt{-1}=i$

$\sqrt{19} \times i = 0 + \sqrt{19}i$

Answer:

$0+\sqrt{19}i$ (or $\sqrt{19}i$)