AA C&C Quiz Review: Operations w/ Complex Numbers

Simplify:

$$\sqrt{-64}+\sqrt{-9}-\sqrt{-25}$$  

(a)  

Simplify the radical expression.

$$\sqrt[]{-320}$$

*Choose ALL that apply!

Simplify. Express answer in $$a+bi$$ form.

$$\left(17+\sqrt[]{-162}\right)+\left(-9+\sqrt[]{-98}\right)$$

Step 1 - Rewrite the negative radicals: $$17\ +$$ ​ (a)   $$-9\ +$$ ​ (b)  

Step 2 - Combine like terms: ​ (c)   $$+$$ ​ (d)  

Simplify. Express your answer in $$a+bi$$ form.

$$\left(-13i\ +8\right)-76$$

*Type answer with NOSPACES!

(a)  

Simplify. *Choose ALL that apply.

$$\left(20-22i\right)-\left(-4+18i\right)$$

Fill in the steps to simplify the expression $$-\left(-3+8i\right)+5i-\left(10i-2\right)$$

First, distribute the negatives to get: ​​ (a)   $$+\ 5i$$ ​ (b)  

Then combine like terms and answer in $$a+bi$$ form: ​ ​ (c)  

Simplify. Answer in $$a+bi$$ form.

$$\left(-9.8i-4.1\right)+2\left(4.2-3.4i\right)+6.7i$$

Find the product of the complex numbers. Choose ALL that apply.

$$\left(6+7i\right)\left(-5i\right)$$

Match the following complex expressions to their simplified versions.