1. Equations & Inequalities

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

Find the difference. Express your answer in standard form. $\(\left\)(2+8i\(\right\))-\(\left\)(4-i\(\right\))$

Find the product. Express your answer in standard form. $2i\(\left\)(9-4i\(\right\))\(\left\)(6+5i\(\right\))$

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

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √24

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

Find the product of the given complex number and its conjugate. $4-5i$

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

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

Find each product. Write answers in standard form. (-2-3i)(-2+3i)

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

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) 0

Find each quotient. Write answers in standard form. (1-3i) / (1+i)

Find each product. Write answers in standard form. (2+i)(3-2i)

Decide whether each statement is true or false. If false, correct the right side of the equation. (-2+7i) - (10-6i)= -12+i