1. Equations & Inequalities

Work each problem. Show that √2/2 + √2/2 i is a square root of i.

Decide whether each statement is true or false. If false, correct the right side of the equation. i¹² = 1

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

Write each number in standard form a+bi. 10+ √-200 / 5

Work each problem. Show that -2+i is a solution of the equation x²+4x+5=0.

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

Identify the real and imaginary parts of each complex number. $3+2i\(\sqrt\)3$

Simplify each power of i. i¹⁰⁰¹

Find each product or quotient. Simplify the answers. √-30 / √-10

Simplify each power of i. i²⁹

Simplify each power of i. i¹¹

Find each sum or difference. Write answers in standard form. (3+2i) + (9+3i)

Identify each number as real, complex, pure imaginary, or nonreal com-plex. (More than one of these descriptions will apply.) √-36

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

Perform each operation. Write answers in standard form. -5i(3-i)²