1. Equations & Inequalities

In Exercises 37–52, perform the indicated operations and write the result in standard form. (- 2 + √-4)²

Perform the indicated operation(s) and write the result in standard form. (8 + 9i)(2 - i) - (1 - i)(1 + i)

Find each product and write the result in standard form. (- 5 + i)(- 5 - i)

Perform the indicated operations and write the result in standard form. 8/(1 + 2/i)

Find each sum or difference. Write answers in standard form. (-3+2i) - (-4+2i)

Perform the indicated operations and write the result in standard form. $\(\frac{-6 - \sqrt{-12}\)}{48}$

In Exercises 29–36, simplify and write the result in standard form. √(3² - 4 × 2 × 5)

In Exercises 21–28, divide and express the result in standard form. 2i/(1 + i)

In Exercises 53–60, write each power of i as as i, - 1, - i, or 1. i³¹

In Exercises 48–57, perform the indicated operations and write the result in standard form. √ (-32) - √ (-18)

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 8i - (14 - 9i)

In Exercises 37–52, perform the indicated operations and write the result in standard form. (- 8 + √-32)/24

Perform the indicated operations and write the result in standard form. $\(\sqrt{-8}\) \(\left\)( \(\sqrt{-3}\) - \(\sqrt{-5}\) \(\right\))$

Simplify the given square root. $\(\sqrt{-75}\)$