1. Equations & Inequalities

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

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

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

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

In Exercises 21–28, divide and express the result in standard form. 5i/(2 - i)

Divide and express the result in standard form. 8i/(4 - 3i)

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. √(3² - 4 × 2 × 5)

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

In Exercises 37–52, perform the indicated operations and write the result in standard form. 5√-16 + 3√-81

In Exercises 37–52, perform the indicated operations and write the result in standard form. (- 3 - √-7)²

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. $\frac{-6 - \sqrt{-12}}{48}$

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

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