1. Equations & Inequalities

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

Find each product and write the result in standard form. (7 - 5i)(- 2 - 3i)

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

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

Find each quotient. Write answers in standard form. 2 / 3i

In Exercises 37–52, perform the indicated operations and write the result in standard form. √-64 - √-25

In Exercises 9–20, find each product and write the result in standard form. (5 - 2i)²

Simplify and write the result in standard form. √-108

In Exercises 48–57, perform the indicated operations and write the result in standard form. 6/(5+i)

In Exercises 37–52, perform the indicated operations and write the result in standard form. (3√-5)(- 4√-12)

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

In Exercises 1–8, add or subtract as indicated and write the result in standard form. 6 - (- 5 + 4i) - (- 13 - i)

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

Write each power of i as i, - 1, - i, or 1. i¹³⁵

Perform the indicated operation(s) and write the result in standard form. (2 - 3i)(1 - i) - (3 - i)(3 + i)