Question

work: section 3.1 complex numbers
question 3, 3.1.9
hw score: 10%, 2 of 20
points: 0 of 1
express in terms of i.
$sqrt{-45}$
$sqrt{-45} = square$
(simplify your answer. type your answer in the form $a+bi$.)

Explanation:

Step1: Split negative radicand

$\sqrt{-45} = \sqrt{45 \times (-1)}$

Step2: Separate square roots

$\sqrt{45} \times \sqrt{-1}$

Step3: Simplify $\sqrt{45}$ and substitute $\sqrt{-1}=i$

$\sqrt{9 \times 5} \times i = 3\sqrt{5}i$

Step4: Write in $a+bi$ form

$0 + 3\sqrt{5}i$

Answer:

$0 + 3\sqrt{5}i$