1. Equations & Inequalities

Write each complex number in standard form. (2 + 3i)³

In Exercises 29–36, simplify and write the result in standard form. √(1² - 4 × 0.5 × 5)

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

In Exercises 9–20, find each product and write the result in standard form. (- 5 + 4i)(3 + i)

Identify each number as real, complex, pure imaginary, or nonreal complex. (More than one of these descriptions will apply.) -6 -2i

In Exercises 21–28, divide and express the result in standard form. 2/(3 - i)

Write each number as the product of a real number and i. -√-18

Simplify and write the result in standard form. √-49

Find each product or quotient. Simplify the answers. √-6 * √-2 / √3

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

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

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)

Find each product. Write answers in standard form. (2+i)²