0. Review of College Algebra

Identify the real and imaginary parts of each complex number.

$3+2i\(\sqrt\)3$

Write the complex number in standard form.

$\(\frac{9+\sqrt{-16}\)}{3}$

Find the difference. Express your answer in standard form.

$\(\left\)(2+8i\(\right\))-\(\left\)(4-i\(\right\))$

Find the sum. Express your answer in standard form.

$5\(\left\)(4+7i\(\right\))+6\(\left\)(3-2i\(\right\))$

Perform the indicated operation. Express your answer in standard form.

$\(\left\)(3+8i\(\right\))^2$

Find the product. Express your answer in standard form.

$2i\(\left\)(9-4i\(\right\))\(\left\)(6+5i\(\right\))$

Find the product of the given complex number and its conjugate.

$4-5i$

Find the product of the given complex number and its conjugate.

$-7-i$

Find the quotient. Express your answer in standard form.  

$\(\frac{6+i}{4-2i}\)$

Find the quotient. Express your answer in standard form. 

$\(\frac{-5+3i}{-7-4i}\)$

In Exercises 9–20, find each product and write the result in standard form.

(3 + 5i)(3 − 5i)

In Exercises 21–28, divide and express the result in standard form.

3 / 4+i

In Exercises 21–28, divide and express the result in standard form.

2+3i / 2+i

In Exercises 29–36, simplify and write the result in standard form.

√−196

In Exercises 29–36, simplify and write the result in standard form.

√3² − 4 ⋅ 2 ⋅ 5